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Finding the Third Proportional to 119,531.25 and 260,093.25

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Solution

The third proportional to 119,531.25 and 260,093.25 is: 565,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,531.25 : 260,093.25 = 260,093.25 : x
  2. Step 2: Convert to fraction form
    119,531.25/260,093.25 = 260,093.25/x
  3. Step 3: Cross multiply
    119,531.25x = 260,093.25 × 260,093.25
  4. Step 4: Simplify right side
    119,531.25x = 67,648,498,695.56
  5. Step 5: Solve for x
    x = 67,648,498,695.56/119,531.25
  6. Step 6: Final answer
    x = 565,948.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.