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Finding the Third Proportional to 82,840 and 176,992

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Solution

The third proportional to 82,840 and 176,992 is: 378,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,840 : 176,992 = 176,992 : x
  2. Step 2: Convert to fraction form
    82,840/176,992 = 176,992/x
  3. Step 3: Cross multiply
    82,840x = 176,992 × 176,992
  4. Step 4: Simplify right side
    82,840x = 31,326,168,064
  5. Step 5: Solve for x
    x = 31,326,168,064/82,840
  6. Step 6: Final answer
    x = 378,152.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.