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Finding the Third Proportional to 119,659 and 185,258

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Solution

The third proportional to 119,659 and 185,258 is: 286,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,659 : 185,258 = 185,258 : x
  2. Step 2: Convert to fraction form
    119,659/185,258 = 185,258/x
  3. Step 3: Cross multiply
    119,659x = 185,258 × 185,258
  4. Step 4: Simplify right side
    119,659x = 34,320,526,564
  5. Step 5: Solve for x
    x = 34,320,526,564/119,659
  6. Step 6: Final answer
    x = 286,819.43

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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.