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Finding the Third Proportional to 70,212 and 150,312

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Solution

The third proportional to 70,212 and 150,312 is: 321,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212 : 150,312 = 150,312 : x
  2. Step 2: Convert to fraction form
    70,212/150,312 = 150,312/x
  3. Step 3: Cross multiply
    70,212x = 150,312 × 150,312
  4. Step 4: Simplify right side
    70,212x = 22,593,697,344
  5. Step 5: Solve for x
    x = 22,593,697,344/70,212
  6. Step 6: Final answer
    x = 321,792.53

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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.