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Finding the Third Proportional to 191,112 and 409,008

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Solution

The third proportional to 191,112 and 409,008 is: 875,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,112 : 409,008 = 409,008 : x
  2. Step 2: Convert to fraction form
    191,112/409,008 = 409,008/x
  3. Step 3: Cross multiply
    191,112x = 409,008 × 409,008
  4. Step 4: Simplify right side
    191,112x = 167,287,544,064
  5. Step 5: Solve for x
    x = 167,287,544,064/191,112
  6. Step 6: Final answer
    x = 875,337.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.