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Finding the Third Proportional to 71,417 and 155,510

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Solution

The third proportional to 71,417 and 155,510 is: 338,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,417 : 155,510 = 155,510 : x
  2. Step 2: Convert to fraction form
    71,417/155,510 = 155,510/x
  3. Step 3: Cross multiply
    71,417x = 155,510 × 155,510
  4. Step 4: Simplify right side
    71,417x = 24,183,360,100
  5. Step 5: Solve for x
    x = 24,183,360,100/71,417
  6. Step 6: Final answer
    x = 338,621.90

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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.