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Finding the Third Proportional to 153,234 and 356,085

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Solution

The third proportional to 153,234 and 356,085 is: 827,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,234 : 356,085 = 356,085 : x
  2. Step 2: Convert to fraction form
    153,234/356,085 = 356,085/x
  3. Step 3: Cross multiply
    153,234x = 356,085 × 356,085
  4. Step 4: Simplify right side
    153,234x = 126,796,527,225
  5. Step 5: Solve for x
    x = 126,796,527,225/153,234
  6. Step 6: Final answer
    x = 827,469.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.