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Finding the Third Proportional to 157,568 and 233,878

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Solution

The third proportional to 157,568 and 233,878 is: 347,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,568 : 233,878 = 233,878 : x
  2. Step 2: Convert to fraction form
    157,568/233,878 = 233,878/x
  3. Step 3: Cross multiply
    157,568x = 233,878 × 233,878
  4. Step 4: Simplify right side
    157,568x = 54,698,918,884
  5. Step 5: Solve for x
    x = 54,698,918,884/157,568
  6. Step 6: Final answer
    x = 347,144.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.