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Finding the Third Proportional to 132,937.14 and 284,557.75

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Solution

The third proportional to 132,937.14 and 284,557.75 is: 609,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,937.14 : 284,557.75 = 284,557.75 : x
  2. Step 2: Convert to fraction form
    132,937.14/284,557.75 = 284,557.75/x
  3. Step 3: Cross multiply
    132,937.14x = 284,557.75 × 284,557.75
  4. Step 4: Simplify right side
    132,937.14x = 80,973,110,861.96
  5. Step 5: Solve for x
    x = 80,973,110,861.96/132,937.14
  6. Step 6: Final answer
    x = 609,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.