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Finding the Third Proportional to 141,704 and 306,682

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Solution

The third proportional to 141,704 and 306,682 is: 663,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,704 : 306,682 = 306,682 : x
  2. Step 2: Convert to fraction form
    141,704/306,682 = 306,682/x
  3. Step 3: Cross multiply
    141,704x = 306,682 × 306,682
  4. Step 4: Simplify right side
    141,704x = 94,053,849,124
  5. Step 5: Solve for x
    x = 94,053,849,124/141,704
  6. Step 6: Final answer
    x = 663,734.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.