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Finding the Third Proportional to 151,962.33 and 351,765.28

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Solution

The third proportional to 151,962.33 and 351,765.28 is: 814,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,962.33 : 351,765.28 = 351,765.28 : x
  2. Step 2: Convert to fraction form
    151,962.33/351,765.28 = 351,765.28/x
  3. Step 3: Cross multiply
    151,962.33x = 351,765.28 × 351,765.28
  4. Step 4: Simplify right side
    151,962.33x = 123,738,813,092.89
  5. Step 5: Solve for x
    x = 123,738,813,092.89/151,962.33
  6. Step 6: Final answer
    x = 814,272.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.