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Finding the Third Proportional to 221,869.50 and 485,211

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Solution

The third proportional to 221,869.50 and 485,211 is: 1,061,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,869.50 : 485,211 = 485,211 : x
  2. Step 2: Convert to fraction form
    221,869.50/485,211 = 485,211/x
  3. Step 3: Cross multiply
    221,869.50x = 485,211 × 485,211
  4. Step 4: Simplify right side
    221,869.50x = 235,429,714,521
  5. Step 5: Solve for x
    x = 235,429,714,521/221,869.50
  6. Step 6: Final answer
    x = 1,061,117.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.