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Finding the Third Proportional to 151,948 and 332,524

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Solution

The third proportional to 151,948 and 332,524 is: 727,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,948 : 332,524 = 332,524 : x
  2. Step 2: Convert to fraction form
    151,948/332,524 = 332,524/x
  3. Step 3: Cross multiply
    151,948x = 332,524 × 332,524
  4. Step 4: Simplify right side
    151,948x = 110,572,210,576
  5. Step 5: Solve for x
    x = 110,572,210,576/151,948
  6. Step 6: Final answer
    x = 727,697.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.