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Finding the Third Proportional to 201,976.13 and 307,161.38

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Solution

The third proportional to 201,976.13 and 307,161.38 is: 467,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.13 : 307,161.38 = 307,161.38 : x
  2. Step 2: Convert to fraction form
    201,976.13/307,161.38 = 307,161.38/x
  3. Step 3: Cross multiply
    201,976.13x = 307,161.38 × 307,161.38
  4. Step 4: Simplify right side
    201,976.13x = 94,348,110,291.89
  5. Step 5: Solve for x
    x = 94,348,110,291.89/201,976.13
  6. Step 6: Final answer
    x = 467,125.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.