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Finding the Third Proportional to 106,024.50 and 230,451

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Solution

The third proportional to 106,024.50 and 230,451 is: 500,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,024.50 : 230,451 = 230,451 : x
  2. Step 2: Convert to fraction form
    106,024.50/230,451 = 230,451/x
  3. Step 3: Cross multiply
    106,024.50x = 230,451 × 230,451
  4. Step 4: Simplify right side
    106,024.50x = 53,107,663,401
  5. Step 5: Solve for x
    x = 53,107,663,401/106,024.50
  6. Step 6: Final answer
    x = 500,899.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.