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Finding the Third Proportional to 134,483.25 and 200,934.75

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Solution

The third proportional to 134,483.25 and 200,934.75 is: 300,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,483.25 : 200,934.75 = 200,934.75 : x
  2. Step 2: Convert to fraction form
    134,483.25/200,934.75 = 200,934.75/x
  3. Step 3: Cross multiply
    134,483.25x = 200,934.75 × 200,934.75
  4. Step 4: Simplify right side
    134,483.25x = 40,374,773,757.56
  5. Step 5: Solve for x
    x = 40,374,773,757.56/134,483.25
  6. Step 6: Final answer
    x = 300,221.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.