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Finding the Third Proportional to 145,469.67 and 351,064.76

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Solution

The third proportional to 145,469.67 and 351,064.76 is: 847,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,469.67 : 351,064.76 = 351,064.76 : x
  2. Step 2: Convert to fraction form
    145,469.67/351,064.76 = 351,064.76/x
  3. Step 3: Cross multiply
    145,469.67x = 351,064.76 × 351,064.76
  4. Step 4: Simplify right side
    145,469.67x = 123,246,464,177.95
  5. Step 5: Solve for x
    x = 123,246,464,177.95/145,469.67
  6. Step 6: Final answer
    x = 847,231.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.