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Finding the Third Proportional to 119,638 and 185,778

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Solution

The third proportional to 119,638 and 185,778 is: 288,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,638 : 185,778 = 185,778 : x
  2. Step 2: Convert to fraction form
    119,638/185,778 = 185,778/x
  3. Step 3: Cross multiply
    119,638x = 185,778 × 185,778
  4. Step 4: Simplify right side
    119,638x = 34,513,465,284
  5. Step 5: Solve for x
    x = 34,513,465,284/119,638
  6. Step 6: Final answer
    x = 288,482.47

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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.