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Finding the Third Proportional to 70,224 and 153,568

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Solution

The third proportional to 70,224 and 153,568 is: 335,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,224 : 153,568 = 153,568 : x
  2. Step 2: Convert to fraction form
    70,224/153,568 = 153,568/x
  3. Step 3: Cross multiply
    70,224x = 153,568 × 153,568
  4. Step 4: Simplify right side
    70,224x = 23,583,130,624
  5. Step 5: Solve for x
    x = 23,583,130,624/70,224
  6. Step 6: Final answer
    x = 335,827.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.