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Finding the Third Proportional to 152,018.44 and 223,450.31

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Solution

The third proportional to 152,018.44 and 223,450.31 is: 328,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,018.44 : 223,450.31 = 223,450.31 : x
  2. Step 2: Convert to fraction form
    152,018.44/223,450.31 = 223,450.31/x
  3. Step 3: Cross multiply
    152,018.44x = 223,450.31 × 223,450.31
  4. Step 4: Simplify right side
    152,018.44x = 49,930,042,156.35
  5. Step 5: Solve for x
    x = 49,930,042,156.35/152,018.44
  6. Step 6: Final answer
    x = 328,447.28

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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.