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Finding the Third Proportional to 79,302 and 174,377

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Solution

The third proportional to 79,302 and 174,377 is: 383,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,302 : 174,377 = 174,377 : x
  2. Step 2: Convert to fraction form
    79,302/174,377 = 174,377/x
  3. Step 3: Cross multiply
    79,302x = 174,377 × 174,377
  4. Step 4: Simplify right side
    79,302x = 30,407,338,129
  5. Step 5: Solve for x
    x = 30,407,338,129/79,302
  6. Step 6: Final answer
    x = 383,437.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.