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Finding the Third Proportional to 164,662 and 342,246

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Solution

The third proportional to 164,662 and 342,246 is: 711,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,662 : 342,246 = 342,246 : x
  2. Step 2: Convert to fraction form
    164,662/342,246 = 342,246/x
  3. Step 3: Cross multiply
    164,662x = 342,246 × 342,246
  4. Step 4: Simplify right side
    164,662x = 117,132,324,516
  5. Step 5: Solve for x
    x = 117,132,324,516/164,662
  6. Step 6: Final answer
    x = 711,350.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.