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Finding the Third Proportional to 200,675 and 293,814

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Solution

The third proportional to 200,675 and 293,814 is: 430,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675 : 293,814 = 293,814 : x
  2. Step 2: Convert to fraction form
    200,675/293,814 = 293,814/x
  3. Step 3: Cross multiply
    200,675x = 293,814 × 293,814
  4. Step 4: Simplify right side
    200,675x = 86,326,666,596
  5. Step 5: Solve for x
    x = 86,326,666,596/200,675
  6. Step 6: Final answer
    x = 430,181.47

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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.