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Finding the Third Proportional to 148,285.69 and 349,899.75

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Solution

The third proportional to 148,285.69 and 349,899.75 is: 825,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,285.69 : 349,899.75 = 349,899.75 : x
  2. Step 2: Convert to fraction form
    148,285.69/349,899.75 = 349,899.75/x
  3. Step 3: Cross multiply
    148,285.69x = 349,899.75 × 349,899.75
  4. Step 4: Simplify right side
    148,285.69x = 122,429,835,050.06
  5. Step 5: Solve for x
    x = 122,429,835,050.06/148,285.69
  6. Step 6: Final answer
    x = 825,634.87

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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.