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Finding the Third Proportional to 145,414 and 218,850

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Solution

The third proportional to 145,414 and 218,850 is: 329,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414 : 218,850 = 218,850 : x
  2. Step 2: Convert to fraction form
    145,414/218,850 = 218,850/x
  3. Step 3: Cross multiply
    145,414x = 218,850 × 218,850
  4. Step 4: Simplify right side
    145,414x = 47,895,322,500
  5. Step 5: Solve for x
    x = 47,895,322,500/145,414
  6. Step 6: Final answer
    x = 329,372.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.