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Finding the Third Proportional to 76,464 and 177,778.13

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Solution

The third proportional to 76,464 and 177,778.13 is: 413,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 177,778.13 = 177,778.13 : x
  2. Step 2: Convert to fraction form
    76,464/177,778.13 = 177,778.13/x
  3. Step 3: Cross multiply
    76,464x = 177,778.13 × 177,778.13
  4. Step 4: Simplify right side
    76,464x = 31,605,061,728.52
  5. Step 5: Solve for x
    x = 31,605,061,728.52/76,464
  6. Step 6: Final answer
    x = 413,332.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.