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Finding the Third Proportional to 148,382.82 and 349,924.27

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Solution

The third proportional to 148,382.82 and 349,924.27 is: 825,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,382.82 : 349,924.27 = 349,924.27 : x
  2. Step 2: Convert to fraction form
    148,382.82/349,924.27 = 349,924.27/x
  3. Step 3: Cross multiply
    148,382.82x = 349,924.27 × 349,924.27
  4. Step 4: Simplify right side
    148,382.82x = 122,446,995,773.87
  5. Step 5: Solve for x
    x = 122,446,995,773.87/148,382.82
  6. Step 6: Final answer
    x = 825,210.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.