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Finding the Third Proportional to 149,666.25 and 325,167.75

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Solution

The third proportional to 149,666.25 and 325,167.75 is: 706,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,666.25 : 325,167.75 = 325,167.75 : x
  2. Step 2: Convert to fraction form
    149,666.25/325,167.75 = 325,167.75/x
  3. Step 3: Cross multiply
    149,666.25x = 325,167.75 × 325,167.75
  4. Step 4: Simplify right side
    149,666.25x = 105,734,065,640.06
  5. Step 5: Solve for x
    x = 105,734,065,640.06/149,666.25
  6. Step 6: Final answer
    x = 706,465.66

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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.