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Finding the Third Proportional to 142,215.75 and 328,404.38

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Solution

The third proportional to 142,215.75 and 328,404.38 is: 758,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,215.75 : 328,404.38 = 328,404.38 : x
  2. Step 2: Convert to fraction form
    142,215.75/328,404.38 = 328,404.38/x
  3. Step 3: Cross multiply
    142,215.75x = 328,404.38 × 328,404.38
  4. Step 4: Simplify right side
    142,215.75x = 107,849,433,519.14
  5. Step 5: Solve for x
    x = 107,849,433,519.14/142,215.75
  6. Step 6: Final answer
    x = 758,350.84

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.