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Finding the Third Proportional to 177,772.22 and 385,686.56

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Solution

The third proportional to 177,772.22 and 385,686.56 is: 836,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,772.22 : 385,686.56 = 385,686.56 : x
  2. Step 2: Convert to fraction form
    177,772.22/385,686.56 = 385,686.56/x
  3. Step 3: Cross multiply
    177,772.22x = 385,686.56 × 385,686.56
  4. Step 4: Simplify right side
    177,772.22x = 148,754,124,493.07
  5. Step 5: Solve for x
    x = 148,754,124,493.07/177,772.22
  6. Step 6: Final answer
    x = 836,768.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.