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Finding the Third Proportional to 131,402.25 and 178,210.13

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Solution

The third proportional to 131,402.25 and 178,210.13 is: 241,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,402.25 : 178,210.13 = 178,210.13 : x
  2. Step 2: Convert to fraction form
    131,402.25/178,210.13 = 178,210.13/x
  3. Step 3: Cross multiply
    131,402.25x = 178,210.13 × 178,210.13
  4. Step 4: Simplify right side
    131,402.25x = 31,758,848,652.52
  5. Step 5: Solve for x
    x = 31,758,848,652.52/131,402.25
  6. Step 6: Final answer
    x = 241,691.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.