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Finding the Third Proportional to 228,835.13 and 345,330.84

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Solution

The third proportional to 228,835.13 and 345,330.84 is: 521,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,835.13 : 345,330.84 = 345,330.84 : x
  2. Step 2: Convert to fraction form
    228,835.13/345,330.84 = 345,330.84/x
  3. Step 3: Cross multiply
    228,835.13x = 345,330.84 × 345,330.84
  4. Step 4: Simplify right side
    228,835.13x = 119,253,391,645.09
  5. Step 5: Solve for x
    x = 119,253,391,645.09/228,835.13
  6. Step 6: Final answer
    x = 521,132.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.