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Finding the Third Proportional to 174,475 and 261,705

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Solution

The third proportional to 174,475 and 261,705 is: 392,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,475 : 261,705 = 261,705 : x
  2. Step 2: Convert to fraction form
    174,475/261,705 = 261,705/x
  3. Step 3: Cross multiply
    174,475x = 261,705 × 261,705
  4. Step 4: Simplify right side
    174,475x = 68,489,507,025
  5. Step 5: Solve for x
    x = 68,489,507,025/174,475
  6. Step 6: Final answer
    x = 392,546.25

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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.