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Finding the Third Proportional to 182,826 and 277,767

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Solution

The third proportional to 182,826 and 277,767 is: 422,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,826 : 277,767 = 277,767 : x
  2. Step 2: Convert to fraction form
    182,826/277,767 = 277,767/x
  3. Step 3: Cross multiply
    182,826x = 277,767 × 277,767
  4. Step 4: Simplify right side
    182,826x = 77,154,506,289
  5. Step 5: Solve for x
    x = 77,154,506,289/182,826
  6. Step 6: Final answer
    x = 422,010.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.