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Finding the Third Proportional to 226,153 and 487,910

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Solution

The third proportional to 226,153 and 487,910 is: 1,052,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,153 : 487,910 = 487,910 : x
  2. Step 2: Convert to fraction form
    226,153/487,910 = 487,910/x
  3. Step 3: Cross multiply
    226,153x = 487,910 × 487,910
  4. Step 4: Simplify right side
    226,153x = 238,056,168,100
  5. Step 5: Solve for x
    x = 238,056,168,100/226,153
  6. Step 6: Final answer
    x = 1,052,633.25

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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.