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Finding the Third Proportional to 138,519 and 214,906

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Solution

The third proportional to 138,519 and 214,906 is: 333,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,519 : 214,906 = 214,906 : x
  2. Step 2: Convert to fraction form
    138,519/214,906 = 214,906/x
  3. Step 3: Cross multiply
    138,519x = 214,906 × 214,906
  4. Step 4: Simplify right side
    138,519x = 46,184,588,836
  5. Step 5: Solve for x
    x = 46,184,588,836/138,519
  6. Step 6: Final answer
    x = 333,417.00

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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.