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Finding the Third Proportional to 152,354 and 231,929

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Solution

The third proportional to 152,354 and 231,929 is: 353,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,354 : 231,929 = 231,929 : x
  2. Step 2: Convert to fraction form
    152,354/231,929 = 231,929/x
  3. Step 3: Cross multiply
    152,354x = 231,929 × 231,929
  4. Step 4: Simplify right side
    152,354x = 53,791,061,041
  5. Step 5: Solve for x
    x = 53,791,061,041/152,354
  6. Step 6: Final answer
    x = 353,066.29

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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.