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Finding the Third Proportional to 70,232 and 150,306

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Solution

The third proportional to 70,232 and 150,306 is: 321,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,232 : 150,306 = 150,306 : x
  2. Step 2: Convert to fraction form
    70,232/150,306 = 150,306/x
  3. Step 3: Cross multiply
    70,232x = 150,306 × 150,306
  4. Step 4: Simplify right side
    70,232x = 22,591,893,636
  5. Step 5: Solve for x
    x = 22,591,893,636/70,232
  6. Step 6: Final answer
    x = 321,675.21

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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.