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Finding the Third Proportional to 131,506 and 287,614

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Solution

The third proportional to 131,506 and 287,614 is: 629,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,506 : 287,614 = 287,614 : x
  2. Step 2: Convert to fraction form
    131,506/287,614 = 287,614/x
  3. Step 3: Cross multiply
    131,506x = 287,614 × 287,614
  4. Step 4: Simplify right side
    131,506x = 82,721,812,996
  5. Step 5: Solve for x
    x = 82,721,812,996/131,506
  6. Step 6: Final answer
    x = 629,034.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.