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Finding the Third Proportional to 102,856 and 224,937

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Solution

The third proportional to 102,856 and 224,937 is: 491,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856 : 224,937 = 224,937 : x
  2. Step 2: Convert to fraction form
    102,856/224,937 = 224,937/x
  3. Step 3: Cross multiply
    102,856x = 224,937 × 224,937
  4. Step 4: Simplify right side
    102,856x = 50,596,653,969
  5. Step 5: Solve for x
    x = 50,596,653,969/102,856
  6. Step 6: Final answer
    x = 491,917.38

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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.