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Finding the Third Proportional to 240,752.25 and 518,501.25

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Solution

The third proportional to 240,752.25 and 518,501.25 is: 1,116,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,752.25 : 518,501.25 = 518,501.25 : x
  2. Step 2: Convert to fraction form
    240,752.25/518,501.25 = 518,501.25/x
  3. Step 3: Cross multiply
    240,752.25x = 518,501.25 × 518,501.25
  4. Step 4: Simplify right side
    240,752.25x = 268,843,546,251.56
  5. Step 5: Solve for x
    x = 268,843,546,251.56/240,752.25
  6. Step 6: Final answer
    x = 1,116,681.34

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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.