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Finding the Third Proportional to 200,323.13 and 286,959.38

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Solution

The third proportional to 200,323.13 and 286,959.38 is: 411,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,323.13 : 286,959.38 = 286,959.38 : x
  2. Step 2: Convert to fraction form
    200,323.13/286,959.38 = 286,959.38/x
  3. Step 3: Cross multiply
    200,323.13x = 286,959.38 × 286,959.38
  4. Step 4: Simplify right side
    200,323.13x = 82,345,682,900.39
  5. Step 5: Solve for x
    x = 82,345,682,900.39/200,323.13
  6. Step 6: Final answer
    x = 411,064.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.