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Finding the Third Proportional to 178,428.38 and 242,209.69

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Solution

The third proportional to 178,428.38 and 242,209.69 is: 328,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,428.38 : 242,209.69 = 242,209.69 : x
  2. Step 2: Convert to fraction form
    178,428.38/242,209.69 = 242,209.69/x
  3. Step 3: Cross multiply
    178,428.38x = 242,209.69 × 242,209.69
  4. Step 4: Simplify right side
    178,428.38x = 58,665,532,718.85
  5. Step 5: Solve for x
    x = 58,665,532,718.85/178,428.38
  6. Step 6: Final answer
    x = 328,790.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.