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Finding the Third Proportional to 142,468.88 and 304,005.38

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Solution

The third proportional to 142,468.88 and 304,005.38 is: 648,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,468.88 : 304,005.38 = 304,005.38 : x
  2. Step 2: Convert to fraction form
    142,468.88/304,005.38 = 304,005.38/x
  3. Step 3: Cross multiply
    142,468.88x = 304,005.38 × 304,005.38
  4. Step 4: Simplify right side
    142,468.88x = 92,419,268,028.89
  5. Step 5: Solve for x
    x = 92,419,268,028.89/142,468.88
  6. Step 6: Final answer
    x = 648,697.96

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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.