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Finding the Third Proportional to 109,849.50 and 235,251

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Solution

The third proportional to 109,849.50 and 235,251 is: 503,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,849.50 : 235,251 = 235,251 : x
  2. Step 2: Convert to fraction form
    109,849.50/235,251 = 235,251/x
  3. Step 3: Cross multiply
    109,849.50x = 235,251 × 235,251
  4. Step 4: Simplify right side
    109,849.50x = 55,343,033,001
  5. Step 5: Solve for x
    x = 55,343,033,001/109,849.50
  6. Step 6: Final answer
    x = 503,807.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.