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Finding the Third Proportional to 147,537 and 316,569

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Solution

The third proportional to 147,537 and 316,569 is: 679,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,537 : 316,569 = 316,569 : x
  2. Step 2: Convert to fraction form
    147,537/316,569 = 316,569/x
  3. Step 3: Cross multiply
    147,537x = 316,569 × 316,569
  4. Step 4: Simplify right side
    147,537x = 100,215,931,761
  5. Step 5: Solve for x
    x = 100,215,931,761/147,537
  6. Step 6: Final answer
    x = 679,259.66

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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.