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Finding the Third Proportional to 191,347 and 417,667

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Solution

The third proportional to 191,347 and 417,667 is: 911,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,347 : 417,667 = 417,667 : x
  2. Step 2: Convert to fraction form
    191,347/417,667 = 417,667/x
  3. Step 3: Cross multiply
    191,347x = 417,667 × 417,667
  4. Step 4: Simplify right side
    191,347x = 174,445,722,889
  5. Step 5: Solve for x
    x = 174,445,722,889/191,347
  6. Step 6: Final answer
    x = 911,672.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.