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Finding the Third Proportional to 119,654 and 185,250

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Solution

The third proportional to 119,654 and 185,250 is: 286,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,654 : 185,250 = 185,250 : x
  2. Step 2: Convert to fraction form
    119,654/185,250 = 185,250/x
  3. Step 3: Cross multiply
    119,654x = 185,250 × 185,250
  4. Step 4: Simplify right side
    119,654x = 34,317,562,500
  5. Step 5: Solve for x
    x = 34,317,562,500/119,654
  6. Step 6: Final answer
    x = 286,806.65

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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.