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Finding the Third Proportional to 160,718 and 342,246

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Solution

The third proportional to 160,718 and 342,246 is: 728,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,718 : 342,246 = 342,246 : x
  2. Step 2: Convert to fraction form
    160,718/342,246 = 342,246/x
  3. Step 3: Cross multiply
    160,718x = 342,246 × 342,246
  4. Step 4: Simplify right side
    160,718x = 117,132,324,516
  5. Step 5: Solve for x
    x = 117,132,324,516/160,718
  6. Step 6: Final answer
    x = 728,806.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.