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Finding the Third Proportional to 191,585.25 and 260,311.22

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Solution

The third proportional to 191,585.25 and 260,311.22 is: 353,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,585.25 : 260,311.22 = 260,311.22 : x
  2. Step 2: Convert to fraction form
    191,585.25/260,311.22 = 260,311.22/x
  3. Step 3: Cross multiply
    191,585.25x = 260,311.22 × 260,311.22
  4. Step 4: Simplify right side
    191,585.25x = 67,761,930,607.11
  5. Step 5: Solve for x
    x = 67,761,930,607.11/191,585.25
  6. Step 6: Final answer
    x = 353,690.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.