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Finding the Third Proportional to 149,656 and 323,051

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Solution

The third proportional to 149,656 and 323,051 is: 697,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,656 : 323,051 = 323,051 : x
  2. Step 2: Convert to fraction form
    149,656/323,051 = 323,051/x
  3. Step 3: Cross multiply
    149,656x = 323,051 × 323,051
  4. Step 4: Simplify right side
    149,656x = 104,361,948,601
  5. Step 5: Solve for x
    x = 104,361,948,601/149,656
  6. Step 6: Final answer
    x = 697,345.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.