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Finding the Third Proportional to 223,582 and 328,244

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Solution

The third proportional to 223,582 and 328,244 is: 481,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,582 : 328,244 = 328,244 : x
  2. Step 2: Convert to fraction form
    223,582/328,244 = 328,244/x
  3. Step 3: Cross multiply
    223,582x = 328,244 × 328,244
  4. Step 4: Simplify right side
    223,582x = 107,744,123,536
  5. Step 5: Solve for x
    x = 107,744,123,536/223,582
  6. Step 6: Final answer
    x = 481,899.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.