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Finding the Third Proportional to 71,415 and 155,506

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Solution

The third proportional to 71,415 and 155,506 is: 338,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415 : 155,506 = 155,506 : x
  2. Step 2: Convert to fraction form
    71,415/155,506 = 155,506/x
  3. Step 3: Cross multiply
    71,415x = 155,506 × 155,506
  4. Step 4: Simplify right side
    71,415x = 24,182,116,036
  5. Step 5: Solve for x
    x = 24,182,116,036/71,415
  6. Step 6: Final answer
    x = 338,613.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.