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Finding the Third Proportional to 332,106.75 and 502,092

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Solution

The third proportional to 332,106.75 and 502,092 is: 759,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,106.75 : 502,092 = 502,092 : x
  2. Step 2: Convert to fraction form
    332,106.75/502,092 = 502,092/x
  3. Step 3: Cross multiply
    332,106.75x = 502,092 × 502,092
  4. Step 4: Simplify right side
    332,106.75x = 252,096,376,464
  5. Step 5: Solve for x
    x = 252,096,376,464/332,106.75
  6. Step 6: Final answer
    x = 759,082.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.