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Finding the Third Proportional to 152,552 and 230,799

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Solution

The third proportional to 152,552 and 230,799 is: 349,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,552 : 230,799 = 230,799 : x
  2. Step 2: Convert to fraction form
    152,552/230,799 = 230,799/x
  3. Step 3: Cross multiply
    152,552x = 230,799 × 230,799
  4. Step 4: Simplify right side
    152,552x = 53,268,178,401
  5. Step 5: Solve for x
    x = 53,268,178,401/152,552
  6. Step 6: Final answer
    x = 349,180.47

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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.