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Finding the Third Proportional to 205,246.13 and 448,320.38

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Solution

The third proportional to 205,246.13 and 448,320.38 is: 979,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,246.13 : 448,320.38 = 448,320.38 : x
  2. Step 2: Convert to fraction form
    205,246.13/448,320.38 = 448,320.38/x
  3. Step 3: Cross multiply
    205,246.13x = 448,320.38 × 448,320.38
  4. Step 4: Simplify right side
    205,246.13x = 200,991,158,640.14
  5. Step 5: Solve for x
    x = 200,991,158,640.14/205,246.13
  6. Step 6: Final answer
    x = 979,268.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.