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Finding the Third Proportional to 159,294 and 248,619

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Solution

The third proportional to 159,294 and 248,619 is: 388,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294 : 248,619 = 248,619 : x
  2. Step 2: Convert to fraction form
    159,294/248,619 = 248,619/x
  3. Step 3: Cross multiply
    159,294x = 248,619 × 248,619
  4. Step 4: Simplify right side
    159,294x = 61,811,407,161
  5. Step 5: Solve for x
    x = 61,811,407,161/159,294
  6. Step 6: Final answer
    x = 388,033.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.