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Finding the Third Proportional to 107,234 and 232,900

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Solution

The third proportional to 107,234 and 232,900 is: 505,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,234 : 232,900 = 232,900 : x
  2. Step 2: Convert to fraction form
    107,234/232,900 = 232,900/x
  3. Step 3: Cross multiply
    107,234x = 232,900 × 232,900
  4. Step 4: Simplify right side
    107,234x = 54,242,410,000
  5. Step 5: Solve for x
    x = 54,242,410,000/107,234
  6. Step 6: Final answer
    x = 505,832.20

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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.