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Finding the Third Proportional to 201,976.50 and 307,162.13

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Solution

The third proportional to 201,976.50 and 307,162.13 is: 467,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.50 : 307,162.13 = 307,162.13 : x
  2. Step 2: Convert to fraction form
    201,976.50/307,162.13 = 307,162.13/x
  3. Step 3: Cross multiply
    201,976.50x = 307,162.13 × 307,162.13
  4. Step 4: Simplify right side
    201,976.50x = 94,348,571,034.52
  5. Step 5: Solve for x
    x = 94,348,571,034.52/201,976.50
  6. Step 6: Final answer
    x = 467,126.48

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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.