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Finding the Third Proportional to 151,088 and 332,000

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Solution

The third proportional to 151,088 and 332,000 is: 729,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,088 : 332,000 = 332,000 : x
  2. Step 2: Convert to fraction form
    151,088/332,000 = 332,000/x
  3. Step 3: Cross multiply
    151,088x = 332,000 × 332,000
  4. Step 4: Simplify right side
    151,088x = 110,224,000,000
  5. Step 5: Solve for x
    x = 110,224,000,000/151,088
  6. Step 6: Final answer
    x = 729,535.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.