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Finding the Third Proportional to 155,244 and 233,772

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Solution

The third proportional to 155,244 and 233,772 is: 352,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,244 : 233,772 = 233,772 : x
  2. Step 2: Convert to fraction form
    155,244/233,772 = 233,772/x
  3. Step 3: Cross multiply
    155,244x = 233,772 × 233,772
  4. Step 4: Simplify right side
    155,244x = 54,649,347,984
  5. Step 5: Solve for x
    x = 54,649,347,984/155,244
  6. Step 6: Final answer
    x = 352,022.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.