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Finding the Third Proportional to 122,478 and 266,826

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Solution

The third proportional to 122,478 and 266,826 is: 581,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,478 : 266,826 = 266,826 : x
  2. Step 2: Convert to fraction form
    122,478/266,826 = 266,826/x
  3. Step 3: Cross multiply
    122,478x = 266,826 × 266,826
  4. Step 4: Simplify right side
    122,478x = 71,196,114,276
  5. Step 5: Solve for x
    x = 71,196,114,276/122,478
  6. Step 6: Final answer
    x = 581,297.17

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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.