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Finding the Third Proportional to 160,687 and 306,794

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Solution

The third proportional to 160,687 and 306,794 is: 585,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,687 : 306,794 = 306,794 : x
  2. Step 2: Convert to fraction form
    160,687/306,794 = 306,794/x
  3. Step 3: Cross multiply
    160,687x = 306,794 × 306,794
  4. Step 4: Simplify right side
    160,687x = 94,122,558,436
  5. Step 5: Solve for x
    x = 94,122,558,436/160,687
  6. Step 6: Final answer
    x = 585,750.92

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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.