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Finding the Third Proportional to 191,290 and 281,102

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Solution

The third proportional to 191,290 and 281,102 is: 413,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,290 : 281,102 = 281,102 : x
  2. Step 2: Convert to fraction form
    191,290/281,102 = 281,102/x
  3. Step 3: Cross multiply
    191,290x = 281,102 × 281,102
  4. Step 4: Simplify right side
    191,290x = 79,018,334,404
  5. Step 5: Solve for x
    x = 79,018,334,404/191,290
  6. Step 6: Final answer
    x = 413,081.37

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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.