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Finding the Third Proportional to 175,632 and 260,400

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Solution

The third proportional to 175,632 and 260,400 is: 386,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,632 : 260,400 = 260,400 : x
  2. Step 2: Convert to fraction form
    175,632/260,400 = 260,400/x
  3. Step 3: Cross multiply
    175,632x = 260,400 × 260,400
  4. Step 4: Simplify right side
    175,632x = 67,808,160,000
  5. Step 5: Solve for x
    x = 67,808,160,000/175,632
  6. Step 6: Final answer
    x = 386,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.