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Finding the Third Proportional to 143,397 and 200,565

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Solution

The third proportional to 143,397 and 200,565 is: 280,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,397 : 200,565 = 200,565 : x
  2. Step 2: Convert to fraction form
    143,397/200,565 = 200,565/x
  3. Step 3: Cross multiply
    143,397x = 200,565 × 200,565
  4. Step 4: Simplify right side
    143,397x = 40,226,319,225
  5. Step 5: Solve for x
    x = 40,226,319,225/143,397
  6. Step 6: Final answer
    x = 280,524.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.