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Finding the Third Proportional to 158,218 and 238,000

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Solution

The third proportional to 158,218 and 238,000 is: 358,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,218 : 238,000 = 238,000 : x
  2. Step 2: Convert to fraction form
    158,218/238,000 = 238,000/x
  3. Step 3: Cross multiply
    158,218x = 238,000 × 238,000
  4. Step 4: Simplify right side
    158,218x = 56,644,000,000
  5. Step 5: Solve for x
    x = 56,644,000,000/158,218
  6. Step 6: Final answer
    x = 358,012.36

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Why These Related Problems?

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