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Finding the Third Proportional to 110,234 and 238,780

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Solution

The third proportional to 110,234 and 238,780 is: 517,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,234 : 238,780 = 238,780 : x
  2. Step 2: Convert to fraction form
    110,234/238,780 = 238,780/x
  3. Step 3: Cross multiply
    110,234x = 238,780 × 238,780
  4. Step 4: Simplify right side
    110,234x = 57,015,888,400
  5. Step 5: Solve for x
    x = 57,015,888,400/110,234
  6. Step 6: Final answer
    x = 517,225.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.