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Finding the Third Proportional to 149,793 and 326,037

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Solution

The third proportional to 149,793 and 326,037 is: 709,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,793 : 326,037 = 326,037 : x
  2. Step 2: Convert to fraction form
    149,793/326,037 = 326,037/x
  3. Step 3: Cross multiply
    149,793x = 326,037 × 326,037
  4. Step 4: Simplify right side
    149,793x = 106,300,125,369
  5. Step 5: Solve for x
    x = 106,300,125,369/149,793
  6. Step 6: Final answer
    x = 709,646.82

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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.