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Finding the Third Proportional to 240,159.94 and 517,430.53

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Solution

The third proportional to 240,159.94 and 517,430.53 is: 1,114,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,159.94 : 517,430.53 = 517,430.53 : x
  2. Step 2: Convert to fraction form
    240,159.94/517,430.53 = 517,430.53/x
  3. Step 3: Cross multiply
    240,159.94x = 517,430.53 × 517,430.53
  4. Step 4: Simplify right side
    240,159.94x = 267,734,354,669.66
  5. Step 5: Solve for x
    x = 267,734,354,669.66/240,159.94
  6. Step 6: Final answer
    x = 1,114,816.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.