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Finding the Third Proportional to 162,218 and 252,055

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Solution

The third proportional to 162,218 and 252,055 is: 391,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,218 : 252,055 = 252,055 : x
  2. Step 2: Convert to fraction form
    162,218/252,055 = 252,055/x
  3. Step 3: Cross multiply
    162,218x = 252,055 × 252,055
  4. Step 4: Simplify right side
    162,218x = 63,531,723,025
  5. Step 5: Solve for x
    x = 63,531,723,025/162,218
  6. Step 6: Final answer
    x = 391,644.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.