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Finding the Third Proportional to 144,591 and 306,677

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Solution

The third proportional to 144,591 and 306,677 is: 650,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,591 : 306,677 = 306,677 : x
  2. Step 2: Convert to fraction form
    144,591/306,677 = 306,677/x
  3. Step 3: Cross multiply
    144,591x = 306,677 × 306,677
  4. Step 4: Simplify right side
    144,591x = 94,050,782,329
  5. Step 5: Solve for x
    x = 94,050,782,329/144,591
  6. Step 6: Final answer
    x = 650,460.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.