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Finding the Third Proportional to 174,550 and 268,629

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Solution

The third proportional to 174,550 and 268,629 is: 413,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,550 : 268,629 = 268,629 : x
  2. Step 2: Convert to fraction form
    174,550/268,629 = 268,629/x
  3. Step 3: Cross multiply
    174,550x = 268,629 × 268,629
  4. Step 4: Simplify right side
    174,550x = 72,161,539,641
  5. Step 5: Solve for x
    x = 72,161,539,641/174,550
  6. Step 6: Final answer
    x = 413,414.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.