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Finding the Third Proportional to 160,248.38 and 341,949.09

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Solution

The third proportional to 160,248.38 and 341,949.09 is: 729,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,248.38 : 341,949.09 = 341,949.09 : x
  2. Step 2: Convert to fraction form
    160,248.38/341,949.09 = 341,949.09/x
  3. Step 3: Cross multiply
    160,248.38x = 341,949.09 × 341,949.09
  4. Step 4: Simplify right side
    160,248.38x = 116,929,182,716.45
  5. Step 5: Solve for x
    x = 116,929,182,716.45/160,248.38
  6. Step 6: Final answer
    x = 729,674.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.