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Finding the Third Proportional to 159,622 and 238,048

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Solution

The third proportional to 159,622 and 238,048 is: 355,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,622 : 238,048 = 238,048 : x
  2. Step 2: Convert to fraction form
    159,622/238,048 = 238,048/x
  3. Step 3: Cross multiply
    159,622x = 238,048 × 238,048
  4. Step 4: Simplify right side
    159,622x = 56,666,850,304
  5. Step 5: Solve for x
    x = 56,666,850,304/159,622
  6. Step 6: Final answer
    x = 355,006.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.