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Finding the Third Proportional to 149,916 and 325,950

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Solution

The third proportional to 149,916 and 325,950 is: 708,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,916 : 325,950 = 325,950 : x
  2. Step 2: Convert to fraction form
    149,916/325,950 = 325,950/x
  3. Step 3: Cross multiply
    149,916x = 325,950 × 325,950
  4. Step 4: Simplify right side
    149,916x = 106,243,402,500
  5. Step 5: Solve for x
    x = 106,243,402,500/149,916
  6. Step 6: Final answer
    x = 708,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.