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Finding the Third Proportional to 174,772 and 261,534

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Solution

The third proportional to 174,772 and 261,534 is: 391,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,772 : 261,534 = 261,534 : x
  2. Step 2: Convert to fraction form
    174,772/261,534 = 261,534/x
  3. Step 3: Cross multiply
    174,772x = 261,534 × 261,534
  4. Step 4: Simplify right side
    174,772x = 68,400,033,156
  5. Step 5: Solve for x
    x = 68,400,033,156/174,772
  6. Step 6: Final answer
    x = 391,367.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.