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Finding the Third Proportional to 71,406 and 155,518

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Solution

The third proportional to 71,406 and 155,518 is: 338,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406 : 155,518 = 155,518 : x
  2. Step 2: Convert to fraction form
    71,406/155,518 = 155,518/x
  3. Step 3: Cross multiply
    71,406x = 155,518 × 155,518
  4. Step 4: Simplify right side
    71,406x = 24,185,848,324
  5. Step 5: Solve for x
    x = 24,185,848,324/71,406
  6. Step 6: Final answer
    x = 338,708.91

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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.