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Finding the Third Proportional to 235,392 and 360,147

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Solution

The third proportional to 235,392 and 360,147 is: 551,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,392 : 360,147 = 360,147 : x
  2. Step 2: Convert to fraction form
    235,392/360,147 = 360,147/x
  3. Step 3: Cross multiply
    235,392x = 360,147 × 360,147
  4. Step 4: Simplify right side
    235,392x = 129,705,861,609
  5. Step 5: Solve for x
    x = 129,705,861,609/235,392
  6. Step 6: Final answer
    x = 551,020.69

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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.