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Finding the Third Proportional to 152,733 and 327,354

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Solution

The third proportional to 152,733 and 327,354 is: 701,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,733 : 327,354 = 327,354 : x
  2. Step 2: Convert to fraction form
    152,733/327,354 = 327,354/x
  3. Step 3: Cross multiply
    152,733x = 327,354 × 327,354
  4. Step 4: Simplify right side
    152,733x = 107,160,641,316
  5. Step 5: Solve for x
    x = 107,160,641,316/152,733
  6. Step 6: Final answer
    x = 701,620.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.