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Finding the Third Proportional to 131,567 and 200,118

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Solution

The third proportional to 131,567 and 200,118 is: 304,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,567 : 200,118 = 200,118 : x
  2. Step 2: Convert to fraction form
    131,567/200,118 = 200,118/x
  3. Step 3: Cross multiply
    131,567x = 200,118 × 200,118
  4. Step 4: Simplify right side
    131,567x = 40,047,213,924
  5. Step 5: Solve for x
    x = 40,047,213,924/131,567
  6. Step 6: Final answer
    x = 304,386.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.