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Finding the Third Proportional to 149,132.25 and 230,402.25

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Solution

The third proportional to 149,132.25 and 230,402.25 is: 355,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,132.25 : 230,402.25 = 230,402.25 : x
  2. Step 2: Convert to fraction form
    149,132.25/230,402.25 = 230,402.25/x
  3. Step 3: Cross multiply
    149,132.25x = 230,402.25 × 230,402.25
  4. Step 4: Simplify right side
    149,132.25x = 53,085,196,805.06
  5. Step 5: Solve for x
    x = 53,085,196,805.06/149,132.25
  6. Step 6: Final answer
    x = 355,960.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.