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Finding the Third Proportional to 233,928 and 352,996

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Solution

The third proportional to 233,928 and 352,996 is: 532,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,928 : 352,996 = 352,996 : x
  2. Step 2: Convert to fraction form
    233,928/352,996 = 352,996/x
  3. Step 3: Cross multiply
    233,928x = 352,996 × 352,996
  4. Step 4: Simplify right side
    233,928x = 124,606,176,016
  5. Step 5: Solve for x
    x = 124,606,176,016/233,928
  6. Step 6: Final answer
    x = 532,668.92

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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.