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Finding the Third Proportional to 221,569.50 and 483,243

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Solution

The third proportional to 221,569.50 and 483,243 is: 1,053,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,569.50 : 483,243 = 483,243 : x
  2. Step 2: Convert to fraction form
    221,569.50/483,243 = 483,243/x
  3. Step 3: Cross multiply
    221,569.50x = 483,243 × 483,243
  4. Step 4: Simplify right side
    221,569.50x = 233,523,797,049
  5. Step 5: Solve for x
    x = 233,523,797,049/221,569.50
  6. Step 6: Final answer
    x = 1,053,952.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.