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Finding the Third Proportional to 151,670 and 326,596

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Solution

The third proportional to 151,670 and 326,596 is: 703,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,670 : 326,596 = 326,596 : x
  2. Step 2: Convert to fraction form
    151,670/326,596 = 326,596/x
  3. Step 3: Cross multiply
    151,670x = 326,596 × 326,596
  4. Step 4: Simplify right side
    151,670x = 106,664,947,216
  5. Step 5: Solve for x
    x = 106,664,947,216/151,670
  6. Step 6: Final answer
    x = 703,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.