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Finding the Third Proportional to 158,220 and 238,002

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Solution

The third proportional to 158,220 and 238,002 is: 358,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,220 : 238,002 = 238,002 : x
  2. Step 2: Convert to fraction form
    158,220/238,002 = 238,002/x
  3. Step 3: Cross multiply
    158,220x = 238,002 × 238,002
  4. Step 4: Simplify right side
    158,220x = 56,644,952,004
  5. Step 5: Solve for x
    x = 56,644,952,004/158,220
  6. Step 6: Final answer
    x = 358,013.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.