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Finding the Third Proportional to 149,652 and 325,487

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Solution

The third proportional to 149,652 and 325,487 is: 707,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,652 : 325,487 = 325,487 : x
  2. Step 2: Convert to fraction form
    149,652/325,487 = 325,487/x
  3. Step 3: Cross multiply
    149,652x = 325,487 × 325,487
  4. Step 4: Simplify right side
    149,652x = 105,941,787,169
  5. Step 5: Solve for x
    x = 105,941,787,169/149,652
  6. Step 6: Final answer
    x = 707,920.96

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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.