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Finding the Third Proportional to 149,796 and 326,043

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Solution

The third proportional to 149,796 and 326,043 is: 709,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796 : 326,043 = 326,043 : x
  2. Step 2: Convert to fraction form
    149,796/326,043 = 326,043/x
  3. Step 3: Cross multiply
    149,796x = 326,043 × 326,043
  4. Step 4: Simplify right side
    149,796x = 106,304,037,849
  5. Step 5: Solve for x
    x = 106,304,037,849/149,796
  6. Step 6: Final answer
    x = 709,658.72

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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.