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Finding the Third Proportional to 216,103.50 and 502,395.75

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Solution

The third proportional to 216,103.50 and 502,395.75 is: 1,167,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,103.50 : 502,395.75 = 502,395.75 : x
  2. Step 2: Convert to fraction form
    216,103.50/502,395.75 = 502,395.75/x
  3. Step 3: Cross multiply
    216,103.50x = 502,395.75 × 502,395.75
  4. Step 4: Simplify right side
    216,103.50x = 252,401,489,618.06
  5. Step 5: Solve for x
    x = 252,401,489,618.06/216,103.50
  6. Step 6: Final answer
    x = 1,167,965.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.