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Finding the Third Proportional to 140,397 and 200,769

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Solution

The third proportional to 140,397 and 200,769 is: 287,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,397 : 200,769 = 200,769 : x
  2. Step 2: Convert to fraction form
    140,397/200,769 = 200,769/x
  3. Step 3: Cross multiply
    140,397x = 200,769 × 200,769
  4. Step 4: Simplify right side
    140,397x = 40,308,191,361
  5. Step 5: Solve for x
    x = 40,308,191,361/140,397
  6. Step 6: Final answer
    x = 287,101.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.