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Finding the Third Proportional to 200,744 and 293,577

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Solution

The third proportional to 200,744 and 293,577 is: 429,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744 : 293,577 = 293,577 : x
  2. Step 2: Convert to fraction form
    200,744/293,577 = 293,577/x
  3. Step 3: Cross multiply
    200,744x = 293,577 × 293,577
  4. Step 4: Simplify right side
    200,744x = 86,187,454,929
  5. Step 5: Solve for x
    x = 86,187,454,929/200,744
  6. Step 6: Final answer
    x = 429,340.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.