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Finding the Third Proportional to 119,214 and 258,933

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Solution

The third proportional to 119,214 and 258,933 is: 562,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,214 : 258,933 = 258,933 : x
  2. Step 2: Convert to fraction form
    119,214/258,933 = 258,933/x
  3. Step 3: Cross multiply
    119,214x = 258,933 × 258,933
  4. Step 4: Simplify right side
    119,214x = 67,046,298,489
  5. Step 5: Solve for x
    x = 67,046,298,489/119,214
  6. Step 6: Final answer
    x = 562,402.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.