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Finding the Third Proportional to 138,222 and 202,766

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Solution

The third proportional to 138,222 and 202,766 is: 297,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,222 : 202,766 = 202,766 : x
  2. Step 2: Convert to fraction form
    138,222/202,766 = 202,766/x
  3. Step 3: Cross multiply
    138,222x = 202,766 × 202,766
  4. Step 4: Simplify right side
    138,222x = 41,114,050,756
  5. Step 5: Solve for x
    x = 41,114,050,756/138,222
  6. Step 6: Final answer
    x = 297,449.40

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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.