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Finding the Third Proportional to 150,482 and 355,212

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Solution

The third proportional to 150,482 and 355,212 is: 838,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,482 : 355,212 = 355,212 : x
  2. Step 2: Convert to fraction form
    150,482/355,212 = 355,212/x
  3. Step 3: Cross multiply
    150,482x = 355,212 × 355,212
  4. Step 4: Simplify right side
    150,482x = 126,175,564,944
  5. Step 5: Solve for x
    x = 126,175,564,944/150,482
  6. Step 6: Final answer
    x = 838,476.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.