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Finding the Third Proportional to 169,824.38 and 359,877.38

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Solution

The third proportional to 169,824.38 and 359,877.38 is: 762,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824.38 : 359,877.38 = 359,877.38 : x
  2. Step 2: Convert to fraction form
    169,824.38/359,877.38 = 359,877.38/x
  3. Step 3: Cross multiply
    169,824.38x = 359,877.38 × 359,877.38
  4. Step 4: Simplify right side
    169,824.38x = 129,511,725,036.89
  5. Step 5: Solve for x
    x = 129,511,725,036.89/169,824.38
  6. Step 6: Final answer
    x = 762,621.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.