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Finding the Third Proportional to 81,349.50 and 176,385.75

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Solution

The third proportional to 81,349.50 and 176,385.75 is: 382,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,349.50 : 176,385.75 = 176,385.75 : x
  2. Step 2: Convert to fraction form
    81,349.50/176,385.75 = 176,385.75/x
  3. Step 3: Cross multiply
    81,349.50x = 176,385.75 × 176,385.75
  4. Step 4: Simplify right side
    81,349.50x = 31,111,932,803.06
  5. Step 5: Solve for x
    x = 31,111,932,803.06/81,349.50
  6. Step 6: Final answer
    x = 382,447.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.