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Finding the Third Proportional to 199,751.06 and 269,127.56

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Solution

The third proportional to 199,751.06 and 269,127.56 is: 362,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,751.06 : 269,127.56 = 269,127.56 : x
  2. Step 2: Convert to fraction form
    199,751.06/269,127.56 = 269,127.56/x
  3. Step 3: Cross multiply
    199,751.06x = 269,127.56 × 269,127.56
  4. Step 4: Simplify right side
    199,751.06x = 72,429,644,897.19
  5. Step 5: Solve for x
    x = 72,429,644,897.19/199,751.06
  6. Step 6: Final answer
    x = 362,599.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.