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Finding the Third Proportional to 200,546.38 and 300,862.63

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Solution

The third proportional to 200,546.38 and 300,862.63 is: 451,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.38 : 300,862.63 = 300,862.63 : x
  2. Step 2: Convert to fraction form
    200,546.38/300,862.63 = 300,862.63/x
  3. Step 3: Cross multiply
    200,546.38x = 300,862.63 × 300,862.63
  4. Step 4: Simplify right side
    200,546.38x = 90,518,319,121.89
  5. Step 5: Solve for x
    x = 90,518,319,121.89/200,546.38
  6. Step 6: Final answer
    x = 451,358.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.