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Finding the Third Proportional to 141,802 and 337,224

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Solution

The third proportional to 141,802 and 337,224 is: 801,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802 : 337,224 = 337,224 : x
  2. Step 2: Convert to fraction form
    141,802/337,224 = 337,224/x
  3. Step 3: Cross multiply
    141,802x = 337,224 × 337,224
  4. Step 4: Simplify right side
    141,802x = 113,720,026,176
  5. Step 5: Solve for x
    x = 113,720,026,176/141,802
  6. Step 6: Final answer
    x = 801,963.49

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.