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Finding the Third Proportional to 222,529.50 and 328,903.88

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Solution

The third proportional to 222,529.50 and 328,903.88 is: 486,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,529.50 : 328,903.88 = 328,903.88 : x
  2. Step 2: Convert to fraction form
    222,529.50/328,903.88 = 328,903.88/x
  3. Step 3: Cross multiply
    222,529.50x = 328,903.88 × 328,903.88
  4. Step 4: Simplify right side
    222,529.50x = 108,177,758,990.02
  5. Step 5: Solve for x
    x = 108,177,758,990.02/222,529.50
  6. Step 6: Final answer
    x = 486,127.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.