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Finding the Third Proportional to 103,464 and 226,800

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Solution

The third proportional to 103,464 and 226,800 is: 497,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464 : 226,800 = 226,800 : x
  2. Step 2: Convert to fraction form
    103,464/226,800 = 226,800/x
  3. Step 3: Cross multiply
    103,464x = 226,800 × 226,800
  4. Step 4: Simplify right side
    103,464x = 51,438,240,000
  5. Step 5: Solve for x
    x = 51,438,240,000/103,464
  6. Step 6: Final answer
    x = 497,160.75

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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.