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Finding the Third Proportional to 70,264.97 and 150,568.88

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Solution

The third proportional to 70,264.97 and 150,568.88 is: 322,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264.97 : 150,568.88 = 150,568.88 : x
  2. Step 2: Convert to fraction form
    70,264.97/150,568.88 = 150,568.88/x
  3. Step 3: Cross multiply
    70,264.97x = 150,568.88 × 150,568.88
  4. Step 4: Simplify right side
    70,264.97x = 22,670,986,118.77
  5. Step 5: Solve for x
    x = 22,670,986,118.77/70,264.97
  6. Step 6: Final answer
    x = 322,649.91

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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.