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Finding the Third Proportional to 168,432.75 and 253,332.56

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Solution

The third proportional to 168,432.75 and 253,332.56 is: 381,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,432.75 : 253,332.56 = 253,332.56 : x
  2. Step 2: Convert to fraction form
    168,432.75/253,332.56 = 253,332.56/x
  3. Step 3: Cross multiply
    168,432.75x = 253,332.56 × 253,332.56
  4. Step 4: Simplify right side
    168,432.75x = 64,177,387,222.82
  5. Step 5: Solve for x
    x = 64,177,387,222.82/168,432.75
  6. Step 6: Final answer
    x = 381,026.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.