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Finding the Third Proportional to 200,738 and 295,561

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Solution

The third proportional to 200,738 and 295,561 is: 435,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738 : 295,561 = 295,561 : x
  2. Step 2: Convert to fraction form
    200,738/295,561 = 295,561/x
  3. Step 3: Cross multiply
    200,738x = 295,561 × 295,561
  4. Step 4: Simplify right side
    200,738x = 87,356,304,721
  5. Step 5: Solve for x
    x = 87,356,304,721/200,738
  6. Step 6: Final answer
    x = 435,175.73

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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.