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Finding the Third Proportional to 228,862.13 and 332,904.38

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Solution

The third proportional to 228,862.13 and 332,904.38 is: 484,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,862.13 : 332,904.38 = 332,904.38 : x
  2. Step 2: Convert to fraction form
    228,862.13/332,904.38 = 332,904.38/x
  3. Step 3: Cross multiply
    228,862.13x = 332,904.38 × 332,904.38
  4. Step 4: Simplify right side
    228,862.13x = 110,825,322,894.14
  5. Step 5: Solve for x
    x = 110,825,322,894.14/228,862.13
  6. Step 6: Final answer
    x = 484,244.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.