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Finding the Third Proportional to 233,502 and 356,085

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Solution

The third proportional to 233,502 and 356,085 is: 543,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,502 : 356,085 = 356,085 : x
  2. Step 2: Convert to fraction form
    233,502/356,085 = 356,085/x
  3. Step 3: Cross multiply
    233,502x = 356,085 × 356,085
  4. Step 4: Simplify right side
    233,502x = 126,796,527,225
  5. Step 5: Solve for x
    x = 126,796,527,225/233,502
  6. Step 6: Final answer
    x = 543,021.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.