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Finding the Third Proportional to 185,432 and 251,893.50

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Solution

The third proportional to 185,432 and 251,893.50 is: 342,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,432 : 251,893.50 = 251,893.50 : x
  2. Step 2: Convert to fraction form
    185,432/251,893.50 = 251,893.50/x
  3. Step 3: Cross multiply
    185,432x = 251,893.50 × 251,893.50
  4. Step 4: Simplify right side
    185,432x = 63,450,335,342.25
  5. Step 5: Solve for x
    x = 63,450,335,342.25/185,432
  6. Step 6: Final answer
    x = 342,175.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.