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Finding the Third Proportional to 149,792 and 326,035

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Solution

The third proportional to 149,792 and 326,035 is: 709,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,792 : 326,035 = 326,035 : x
  2. Step 2: Convert to fraction form
    149,792/326,035 = 326,035/x
  3. Step 3: Cross multiply
    149,792x = 326,035 × 326,035
  4. Step 4: Simplify right side
    149,792x = 106,298,821,225
  5. Step 5: Solve for x
    x = 106,298,821,225/149,792
  6. Step 6: Final answer
    x = 709,642.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.