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Finding the Third Proportional to 79,842 and 174,270

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Solution

The third proportional to 79,842 and 174,270 is: 380,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,842 : 174,270 = 174,270 : x
  2. Step 2: Convert to fraction form
    79,842/174,270 = 174,270/x
  3. Step 3: Cross multiply
    79,842x = 174,270 × 174,270
  4. Step 4: Simplify right side
    79,842x = 30,370,032,900
  5. Step 5: Solve for x
    x = 30,370,032,900/79,842
  6. Step 6: Final answer
    x = 380,376.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.