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Finding the Third Proportional to 235,154 and 360,327

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Solution

The third proportional to 235,154 and 360,327 is: 552,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,154 : 360,327 = 360,327 : x
  2. Step 2: Convert to fraction form
    235,154/360,327 = 360,327/x
  3. Step 3: Cross multiply
    235,154x = 360,327 × 360,327
  4. Step 4: Simplify right side
    235,154x = 129,835,546,929
  5. Step 5: Solve for x
    x = 129,835,546,929/235,154
  6. Step 6: Final answer
    x = 552,129.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.