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Finding the Third Proportional to 203,953.50 and 292,186.50

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Solution

The third proportional to 203,953.50 and 292,186.50 is: 418,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,953.50 : 292,186.50 = 292,186.50 : x
  2. Step 2: Convert to fraction form
    203,953.50/292,186.50 = 292,186.50/x
  3. Step 3: Cross multiply
    203,953.50x = 292,186.50 × 292,186.50
  4. Step 4: Simplify right side
    203,953.50x = 85,372,950,782.25
  5. Step 5: Solve for x
    x = 85,372,950,782.25/203,953.50
  6. Step 6: Final answer
    x = 418,590.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.