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Finding the Third Proportional to 200,102.25 and 305,236.13

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Solution

The third proportional to 200,102.25 and 305,236.13 is: 465,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,102.25 : 305,236.13 = 305,236.13 : x
  2. Step 2: Convert to fraction form
    200,102.25/305,236.13 = 305,236.13/x
  3. Step 3: Cross multiply
    200,102.25x = 305,236.13 × 305,236.13
  4. Step 4: Simplify right side
    200,102.25x = 93,169,092,005.02
  5. Step 5: Solve for x
    x = 93,169,092,005.02/200,102.25
  6. Step 6: Final answer
    x = 465,607.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.