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Finding the Third Proportional to 155,209 and 338,849

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Solution

The third proportional to 155,209 and 338,849 is: 739,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,209 : 338,849 = 338,849 : x
  2. Step 2: Convert to fraction form
    155,209/338,849 = 338,849/x
  3. Step 3: Cross multiply
    155,209x = 338,849 × 338,849
  4. Step 4: Simplify right side
    155,209x = 114,818,644,801
  5. Step 5: Solve for x
    x = 114,818,644,801/155,209
  6. Step 6: Final answer
    x = 739,767.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.