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Finding the Third Proportional to 175,986 and 233,361

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Solution

The third proportional to 175,986 and 233,361 is: 309,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,986 : 233,361 = 233,361 : x
  2. Step 2: Convert to fraction form
    175,986/233,361 = 233,361/x
  3. Step 3: Cross multiply
    175,986x = 233,361 × 233,361
  4. Step 4: Simplify right side
    175,986x = 54,457,356,321
  5. Step 5: Solve for x
    x = 54,457,356,321/175,986
  6. Step 6: Final answer
    x = 309,441.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.