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Finding the Third Proportional to 138,222 and 291,195

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Solution

The third proportional to 138,222 and 291,195 is: 613,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,222 : 291,195 = 291,195 : x
  2. Step 2: Convert to fraction form
    138,222/291,195 = 291,195/x
  3. Step 3: Cross multiply
    138,222x = 291,195 × 291,195
  4. Step 4: Simplify right side
    138,222x = 84,794,528,025
  5. Step 5: Solve for x
    x = 84,794,528,025/138,222
  6. Step 6: Final answer
    x = 613,466.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.