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Finding the Third Proportional to 171,522 and 260,550

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Solution

The third proportional to 171,522 and 260,550 is: 395,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,522 : 260,550 = 260,550 : x
  2. Step 2: Convert to fraction form
    171,522/260,550 = 260,550/x
  3. Step 3: Cross multiply
    171,522x = 260,550 × 260,550
  4. Step 4: Simplify right side
    171,522x = 67,886,302,500
  5. Step 5: Solve for x
    x = 67,886,302,500/171,522
  6. Step 6: Final answer
    x = 395,787.73

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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.