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Finding the Third Proportional to 172,842 and 232,479

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Solution

The third proportional to 172,842 and 232,479 is: 312,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,842 : 232,479 = 232,479 : x
  2. Step 2: Convert to fraction form
    172,842/232,479 = 232,479/x
  3. Step 3: Cross multiply
    172,842x = 232,479 × 232,479
  4. Step 4: Simplify right side
    172,842x = 54,046,485,441
  5. Step 5: Solve for x
    x = 54,046,485,441/172,842
  6. Step 6: Final answer
    x = 312,693.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.