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Finding the Third Proportional to 107,196 and 226,464

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Solution

The third proportional to 107,196 and 226,464 is: 478,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,196 : 226,464 = 226,464 : x
  2. Step 2: Convert to fraction form
    107,196/226,464 = 226,464/x
  3. Step 3: Cross multiply
    107,196x = 226,464 × 226,464
  4. Step 4: Simplify right side
    107,196x = 51,285,943,296
  5. Step 5: Solve for x
    x = 51,285,943,296/107,196
  6. Step 6: Final answer
    x = 478,431.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.