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Finding the Third Proportional to 71,366 and 155,444.50

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Solution

The third proportional to 71,366 and 155,444.50 is: 338,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366 : 155,444.50 = 155,444.50 : x
  2. Step 2: Convert to fraction form
    71,366/155,444.50 = 155,444.50/x
  3. Step 3: Cross multiply
    71,366x = 155,444.50 × 155,444.50
  4. Step 4: Simplify right side
    71,366x = 24,162,992,580.25
  5. Step 5: Solve for x
    x = 24,162,992,580.25/71,366
  6. Step 6: Final answer
    x = 338,578.49

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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.