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Finding the Third Proportional to 94,267.50 and 203,295

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Solution

The third proportional to 94,267.50 and 203,295 is: 438,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,267.50 : 203,295 = 203,295 : x
  2. Step 2: Convert to fraction form
    94,267.50/203,295 = 203,295/x
  3. Step 3: Cross multiply
    94,267.50x = 203,295 × 203,295
  4. Step 4: Simplify right side
    94,267.50x = 41,328,857,025
  5. Step 5: Solve for x
    x = 41,328,857,025/94,267.50
  6. Step 6: Final answer
    x = 438,421.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.