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Finding the Third Proportional to 219,744 and 250,848

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Solution

The third proportional to 219,744 and 250,848 is: 286,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744 : 250,848 = 250,848 : x
  2. Step 2: Convert to fraction form
    219,744/250,848 = 250,848/x
  3. Step 3: Cross multiply
    219,744x = 250,848 × 250,848
  4. Step 4: Simplify right side
    219,744x = 62,924,719,104
  5. Step 5: Solve for x
    x = 62,924,719,104/219,744
  6. Step 6: Final answer
    x = 286,354.66

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.