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Finding the Third Proportional to 171,534 and 260,566

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Solution

The third proportional to 171,534 and 260,566 is: 395,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,534 : 260,566 = 260,566 : x
  2. Step 2: Convert to fraction form
    171,534/260,566 = 260,566/x
  3. Step 3: Cross multiply
    171,534x = 260,566 × 260,566
  4. Step 4: Simplify right side
    171,534x = 67,894,640,356
  5. Step 5: Solve for x
    x = 67,894,640,356/171,534
  6. Step 6: Final answer
    x = 395,808.65

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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.