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Finding the Third Proportional to 160,713 and 306,846

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Solution

The third proportional to 160,713 and 306,846 is: 585,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,713 : 306,846 = 306,846 : x
  2. Step 2: Convert to fraction form
    160,713/306,846 = 306,846/x
  3. Step 3: Cross multiply
    160,713x = 306,846 × 306,846
  4. Step 4: Simplify right side
    160,713x = 94,154,467,716
  5. Step 5: Solve for x
    x = 94,154,467,716/160,713
  6. Step 6: Final answer
    x = 585,854.71

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.