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Finding the Third Proportional to 104,870 and 226,426

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Solution

The third proportional to 104,870 and 226,426 is: 488,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,870 : 226,426 = 226,426 : x
  2. Step 2: Convert to fraction form
    104,870/226,426 = 226,426/x
  3. Step 3: Cross multiply
    104,870x = 226,426 × 226,426
  4. Step 4: Simplify right side
    104,870x = 51,268,733,476
  5. Step 5: Solve for x
    x = 51,268,733,476/104,870
  6. Step 6: Final answer
    x = 488,878.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.