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Finding the Third Proportional to 153,834.19 and 332,272.13

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Solution

The third proportional to 153,834.19 and 332,272.13 is: 717,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,834.19 : 332,272.13 = 332,272.13 : x
  2. Step 2: Convert to fraction form
    153,834.19/332,272.13 = 332,272.13/x
  3. Step 3: Cross multiply
    153,834.19x = 332,272.13 × 332,272.13
  4. Step 4: Simplify right side
    153,834.19x = 110,404,765,052.02
  5. Step 5: Solve for x
    x = 110,404,765,052.02/153,834.19
  6. Step 6: Final answer
    x = 717,686.80

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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.