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Finding the Third Proportional to 110,234 and 237,928

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Solution

The third proportional to 110,234 and 237,928 is: 513,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,234 : 237,928 = 237,928 : x
  2. Step 2: Convert to fraction form
    110,234/237,928 = 237,928/x
  3. Step 3: Cross multiply
    110,234x = 237,928 × 237,928
  4. Step 4: Simplify right side
    110,234x = 56,609,733,184
  5. Step 5: Solve for x
    x = 56,609,733,184/110,234
  6. Step 6: Final answer
    x = 513,541.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.