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Finding the Third Proportional to 203,721.75 and 266,186.25

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Solution

The third proportional to 203,721.75 and 266,186.25 is: 347,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,721.75 : 266,186.25 = 266,186.25 : x
  2. Step 2: Convert to fraction form
    203,721.75/266,186.25 = 266,186.25/x
  3. Step 3: Cross multiply
    203,721.75x = 266,186.25 × 266,186.25
  4. Step 4: Simplify right side
    203,721.75x = 70,855,119,689.06
  5. Step 5: Solve for x
    x = 70,855,119,689.06/203,721.75
  6. Step 6: Final answer
    x = 347,803.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.