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Finding the Third Proportional to 174,665.53 and 247,201.88

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Solution

The third proportional to 174,665.53 and 247,201.88 is: 349,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,665.53 : 247,201.88 = 247,201.88 : x
  2. Step 2: Convert to fraction form
    174,665.53/247,201.88 = 247,201.88/x
  3. Step 3: Cross multiply
    174,665.53x = 247,201.88 × 247,201.88
  4. Step 4: Simplify right side
    174,665.53x = 61,108,767,003.52
  5. Step 5: Solve for x
    x = 61,108,767,003.52/174,665.53
  6. Step 6: Final answer
    x = 349,861.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.