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Finding the Third Proportional to 221,175.56 and 473,865.19

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Solution

The third proportional to 221,175.56 and 473,865.19 is: 1,015,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,175.56 : 473,865.19 = 473,865.19 : x
  2. Step 2: Convert to fraction form
    221,175.56/473,865.19 = 473,865.19/x
  3. Step 3: Cross multiply
    221,175.56x = 473,865.19 × 473,865.19
  4. Step 4: Simplify right side
    221,175.56x = 224,548,215,924.41
  5. Step 5: Solve for x
    x = 224,548,215,924.41/221,175.56
  6. Step 6: Final answer
    x = 1,015,248.76

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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.