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Finding the Third Proportional to 172,080 and 260,712

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Solution

The third proportional to 172,080 and 260,712 is: 394,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 260,712 = 260,712 : x
  2. Step 2: Convert to fraction form
    172,080/260,712 = 260,712/x
  3. Step 3: Cross multiply
    172,080x = 260,712 × 260,712
  4. Step 4: Simplify right side
    172,080x = 67,970,746,944
  5. Step 5: Solve for x
    x = 67,970,746,944/172,080
  6. Step 6: Final answer
    x = 394,995.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.