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Finding the Third Proportional to 185,464.69 and 271,225.13

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Solution

The third proportional to 185,464.69 and 271,225.13 is: 396,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,464.69 : 271,225.13 = 271,225.13 : x
  2. Step 2: Convert to fraction form
    185,464.69/271,225.13 = 271,225.13/x
  3. Step 3: Cross multiply
    185,464.69x = 271,225.13 × 271,225.13
  4. Step 4: Simplify right side
    185,464.69x = 73,563,068,431.27
  5. Step 5: Solve for x
    x = 73,563,068,431.27/185,464.69
  6. Step 6: Final answer
    x = 396,641.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.