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Finding the Third Proportional to 158,220.84 and 341,179.59

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Solution

The third proportional to 158,220.84 and 341,179.59 is: 735,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,220.84 : 341,179.59 = 341,179.59 : x
  2. Step 2: Convert to fraction form
    158,220.84/341,179.59 = 341,179.59/x
  3. Step 3: Cross multiply
    158,220.84x = 341,179.59 × 341,179.59
  4. Step 4: Simplify right side
    158,220.84x = 116,403,515,191.42
  5. Step 5: Solve for x
    x = 116,403,515,191.42/158,220.84
  6. Step 6: Final answer
    x = 735,702.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.