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Finding the Third Proportional to 142,660.88 and 337,377

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Solution

The third proportional to 142,660.88 and 337,377 is: 797,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,660.88 : 337,377 = 337,377 : x
  2. Step 2: Convert to fraction form
    142,660.88/337,377 = 337,377/x
  3. Step 3: Cross multiply
    142,660.88x = 337,377 × 337,377
  4. Step 4: Simplify right side
    142,660.88x = 113,823,240,129
  5. Step 5: Solve for x
    x = 113,823,240,129/142,660.88
  6. Step 6: Final answer
    x = 797,858.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.