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Finding the Third Proportional to 78,793.13 and 182,220.56

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Solution

The third proportional to 78,793.13 and 182,220.56 is: 421,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,793.13 : 182,220.56 = 182,220.56 : x
  2. Step 2: Convert to fraction form
    78,793.13/182,220.56 = 182,220.56/x
  3. Step 3: Cross multiply
    78,793.13x = 182,220.56 × 182,220.56
  4. Step 4: Simplify right side
    78,793.13x = 33,204,333,397.82
  5. Step 5: Solve for x
    x = 33,204,333,397.82/78,793.13
  6. Step 6: Final answer
    x = 421,411.56

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1.5x scale

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.