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Finding the Third Proportional to 200,713 and 295,524

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Solution

The third proportional to 200,713 and 295,524 is: 435,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,713 : 295,524 = 295,524 : x
  2. Step 2: Convert to fraction form
    200,713/295,524 = 295,524/x
  3. Step 3: Cross multiply
    200,713x = 295,524 × 295,524
  4. Step 4: Simplify right side
    200,713x = 87,334,434,576
  5. Step 5: Solve for x
    x = 87,334,434,576/200,713
  6. Step 6: Final answer
    x = 435,120.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.