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Finding the Third Proportional to 153,778 and 332,822

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Solution

The third proportional to 153,778 and 332,822 is: 720,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,778 : 332,822 = 332,822 : x
  2. Step 2: Convert to fraction form
    153,778/332,822 = 332,822/x
  3. Step 3: Cross multiply
    153,778x = 332,822 × 332,822
  4. Step 4: Simplify right side
    153,778x = 110,770,483,684
  5. Step 5: Solve for x
    x = 110,770,483,684/153,778
  6. Step 6: Final answer
    x = 720,327.25

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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.