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Finding the Third Proportional to 174,288 and 260,738

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Solution

The third proportional to 174,288 and 260,738 is: 390,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,288 : 260,738 = 260,738 : x
  2. Step 2: Convert to fraction form
    174,288/260,738 = 260,738/x
  3. Step 3: Cross multiply
    174,288x = 260,738 × 260,738
  4. Step 4: Simplify right side
    174,288x = 67,984,304,644
  5. Step 5: Solve for x
    x = 67,984,304,644/174,288
  6. Step 6: Final answer
    x = 390,068.76

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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.