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Finding the Third Proportional to 82,368 and 180,774

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Solution

The third proportional to 82,368 and 180,774 is: 396,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368 : 180,774 = 180,774 : x
  2. Step 2: Convert to fraction form
    82,368/180,774 = 180,774/x
  3. Step 3: Cross multiply
    82,368x = 180,774 × 180,774
  4. Step 4: Simplify right side
    82,368x = 32,679,239,076
  5. Step 5: Solve for x
    x = 32,679,239,076/82,368
  6. Step 6: Final answer
    x = 396,746.78

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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.