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Finding the Third Proportional to 174,473 and 261,702

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Solution

The third proportional to 174,473 and 261,702 is: 392,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,473 : 261,702 = 261,702 : x
  2. Step 2: Convert to fraction form
    174,473/261,702 = 261,702/x
  3. Step 3: Cross multiply
    174,473x = 261,702 × 261,702
  4. Step 4: Simplify right side
    174,473x = 68,487,936,804
  5. Step 5: Solve for x
    x = 68,487,936,804/174,473
  6. Step 6: Final answer
    x = 392,541.75

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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.