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Finding the Third Proportional to 153,195 and 327,432

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Solution

The third proportional to 153,195 and 327,432 is: 699,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,195 : 327,432 = 327,432 : x
  2. Step 2: Convert to fraction form
    153,195/327,432 = 327,432/x
  3. Step 3: Cross multiply
    153,195x = 327,432 × 327,432
  4. Step 4: Simplify right side
    153,195x = 107,211,714,624
  5. Step 5: Solve for x
    x = 107,211,714,624/153,195
  6. Step 6: Final answer
    x = 699,838.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.