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Finding the Third Proportional to 233,884 and 352,931

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Solution

The third proportional to 233,884 and 352,931 is: 532,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,884 : 352,931 = 352,931 : x
  2. Step 2: Convert to fraction form
    233,884/352,931 = 352,931/x
  3. Step 3: Cross multiply
    233,884x = 352,931 × 352,931
  4. Step 4: Simplify right side
    233,884x = 124,560,290,761
  5. Step 5: Solve for x
    x = 124,560,290,761/233,884
  6. Step 6: Final answer
    x = 532,572.95

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