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Finding the Third Proportional to 153,849 and 332,301

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Solution

The third proportional to 153,849 and 332,301 is: 717,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,849 : 332,301 = 332,301 : x
  2. Step 2: Convert to fraction form
    153,849/332,301 = 332,301/x
  3. Step 3: Cross multiply
    153,849x = 332,301 × 332,301
  4. Step 4: Simplify right side
    153,849x = 110,423,954,601
  5. Step 5: Solve for x
    x = 110,423,954,601/153,849
  6. Step 6: Final answer
    x = 717,742.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.