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Finding the Third Proportional to 79,708 and 174,896

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Solution

The third proportional to 79,708 and 174,896 is: 383,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,708 : 174,896 = 174,896 : x
  2. Step 2: Convert to fraction form
    79,708/174,896 = 174,896/x
  3. Step 3: Cross multiply
    79,708x = 174,896 × 174,896
  4. Step 4: Simplify right side
    79,708x = 30,588,610,816
  5. Step 5: Solve for x
    x = 30,588,610,816/79,708
  6. Step 6: Final answer
    x = 383,758.35

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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.