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Finding the Third Proportional to 174,290 and 260,741

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Solution

The third proportional to 174,290 and 260,741 is: 390,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,290 : 260,741 = 260,741 : x
  2. Step 2: Convert to fraction form
    174,290/260,741 = 260,741/x
  3. Step 3: Cross multiply
    174,290x = 260,741 × 260,741
  4. Step 4: Simplify right side
    174,290x = 67,985,869,081
  5. Step 5: Solve for x
    x = 67,985,869,081/174,290
  6. Step 6: Final answer
    x = 390,073.26

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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.