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Finding the Third Proportional to 153,669 and 332,606

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Solution

The third proportional to 153,669 and 332,606 is: 719,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,669 : 332,606 = 332,606 : x
  2. Step 2: Convert to fraction form
    153,669/332,606 = 332,606/x
  3. Step 3: Cross multiply
    153,669x = 332,606 × 332,606
  4. Step 4: Simplify right side
    153,669x = 110,626,751,236
  5. Step 5: Solve for x
    x = 110,626,751,236/153,669
  6. Step 6: Final answer
    x = 719,902.85

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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.