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Finding the Third Proportional to 203,577.19 and 402,045.19

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Solution

The third proportional to 203,577.19 and 402,045.19 is: 794,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,577.19 : 402,045.19 = 402,045.19 : x
  2. Step 2: Convert to fraction form
    203,577.19/402,045.19 = 402,045.19/x
  3. Step 3: Cross multiply
    203,577.19x = 402,045.19 × 402,045.19
  4. Step 4: Simplify right side
    203,577.19x = 161,640,332,791.91
  5. Step 5: Solve for x
    x = 161,640,332,791.91/203,577.19
  6. Step 6: Final answer
    x = 794,000.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.