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Finding the Third Proportional to 171,252 and 272,731.50

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Solution

The third proportional to 171,252 and 272,731.50 is: 434,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,252 : 272,731.50 = 272,731.50 : x
  2. Step 2: Convert to fraction form
    171,252/272,731.50 = 272,731.50/x
  3. Step 3: Cross multiply
    171,252x = 272,731.50 × 272,731.50
  4. Step 4: Simplify right side
    171,252x = 74,382,471,092.25
  5. Step 5: Solve for x
    x = 74,382,471,092.25/171,252
  6. Step 6: Final answer
    x = 434,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.