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Finding the Third Proportional to 148,698.91 and 239,373.98

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Solution

The third proportional to 148,698.91 and 239,373.98 is: 385,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,698.91 : 239,373.98 = 239,373.98 : x
  2. Step 2: Convert to fraction form
    148,698.91/239,373.98 = 239,373.98/x
  3. Step 3: Cross multiply
    148,698.91x = 239,373.98 × 239,373.98
  4. Step 4: Simplify right side
    148,698.91x = 57,299,904,395.56
  5. Step 5: Solve for x
    x = 57,299,904,395.56/148,698.91
  6. Step 6: Final answer
    x = 385,341.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.