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Finding the Third Proportional to 131,538 and 287,670

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Solution

The third proportional to 131,538 and 287,670 is: 629,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,538 : 287,670 = 287,670 : x
  2. Step 2: Convert to fraction form
    131,538/287,670 = 287,670/x
  3. Step 3: Cross multiply
    131,538x = 287,670 × 287,670
  4. Step 4: Simplify right side
    131,538x = 82,754,028,900
  5. Step 5: Solve for x
    x = 82,754,028,900/131,538
  6. Step 6: Final answer
    x = 629,126.40

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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.