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Finding the Third Proportional to 160,906 and 326,124

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Solution

The third proportional to 160,906 and 326,124 is: 660,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906 : 326,124 = 326,124 : x
  2. Step 2: Convert to fraction form
    160,906/326,124 = 326,124/x
  3. Step 3: Cross multiply
    160,906x = 326,124 × 326,124
  4. Step 4: Simplify right side
    160,906x = 106,356,863,376
  5. Step 5: Solve for x
    x = 106,356,863,376/160,906
  6. Step 6: Final answer
    x = 660,987.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.