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Finding the Third Proportional to 152,367 and 231,948

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Solution

The third proportional to 152,367 and 231,948 is: 353,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,367 : 231,948 = 231,948 : x
  2. Step 2: Convert to fraction form
    152,367/231,948 = 231,948/x
  3. Step 3: Cross multiply
    152,367x = 231,948 × 231,948
  4. Step 4: Simplify right side
    152,367x = 53,799,874,704
  5. Step 5: Solve for x
    x = 53,799,874,704/152,367
  6. Step 6: Final answer
    x = 353,094.01

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