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Finding the Third Proportional to 149,726 and 324,633

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Solution

The third proportional to 149,726 and 324,633 is: 703,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 324,633 = 324,633 : x
  2. Step 2: Convert to fraction form
    149,726/324,633 = 324,633/x
  3. Step 3: Cross multiply
    149,726x = 324,633 × 324,633
  4. Step 4: Simplify right side
    149,726x = 105,386,584,689
  5. Step 5: Solve for x
    x = 105,386,584,689/149,726
  6. Step 6: Final answer
    x = 703,862.95

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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.