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Finding the Third Proportional to 177,223.89 and 272,405.37

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Solution

The third proportional to 177,223.89 and 272,405.37 is: 418,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,223.89 : 272,405.37 = 272,405.37 : x
  2. Step 2: Convert to fraction form
    177,223.89/272,405.37 = 272,405.37/x
  3. Step 3: Cross multiply
    177,223.89x = 272,405.37 × 272,405.37
  4. Step 4: Simplify right side
    177,223.89x = 74,204,687,264.81
  5. Step 5: Solve for x
    x = 74,204,687,264.81/177,223.89
  6. Step 6: Final answer
    x = 418,705.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.