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Finding the Third Proportional to 240,167.53 and 519,782.06

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Solution

The third proportional to 240,167.53 and 519,782.06 is: 1,124,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,167.53 : 519,782.06 = 519,782.06 : x
  2. Step 2: Convert to fraction form
    240,167.53/519,782.06 = 519,782.06/x
  3. Step 3: Cross multiply
    240,167.53x = 519,782.06 × 519,782.06
  4. Step 4: Simplify right side
    240,167.53x = 270,173,392,496.75
  5. Step 5: Solve for x
    x = 270,173,392,496.75/240,167.53
  6. Step 6: Final answer
    x = 1,124,937.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.