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Finding the Third Proportional to 191,574 and 281,793

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Solution

The third proportional to 191,574 and 281,793 is: 414,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,574 : 281,793 = 281,793 : x
  2. Step 2: Convert to fraction form
    191,574/281,793 = 281,793/x
  3. Step 3: Cross multiply
    191,574x = 281,793 × 281,793
  4. Step 4: Simplify right side
    191,574x = 79,407,294,849
  5. Step 5: Solve for x
    x = 79,407,294,849/191,574
  6. Step 6: Final answer
    x = 414,499.33

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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.