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Finding the Third Proportional to 171,478.50 and 260,637

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Solution

The third proportional to 171,478.50 and 260,637 is: 396,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,478.50 : 260,637 = 260,637 : x
  2. Step 2: Convert to fraction form
    171,478.50/260,637 = 260,637/x
  3. Step 3: Cross multiply
    171,478.50x = 260,637 × 260,637
  4. Step 4: Simplify right side
    171,478.50x = 67,931,645,769
  5. Step 5: Solve for x
    x = 67,931,645,769/171,478.50
  6. Step 6: Final answer
    x = 396,152.55

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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.