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Finding the Third Proportional to 152,508 and 231,354

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Solution

The third proportional to 152,508 and 231,354 is: 350,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,508 : 231,354 = 231,354 : x
  2. Step 2: Convert to fraction form
    152,508/231,354 = 231,354/x
  3. Step 3: Cross multiply
    152,508x = 231,354 × 231,354
  4. Step 4: Simplify right side
    152,508x = 53,524,673,316
  5. Step 5: Solve for x
    x = 53,524,673,316/152,508
  6. Step 6: Final answer
    x = 350,963.05

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Why These Related Problems?

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