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Finding the Third Proportional to 105,365 and 228,226

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Solution

The third proportional to 105,365 and 228,226 is: 494,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,365 : 228,226 = 228,226 : x
  2. Step 2: Convert to fraction form
    105,365/228,226 = 228,226/x
  3. Step 3: Cross multiply
    105,365x = 228,226 × 228,226
  4. Step 4: Simplify right side
    105,365x = 52,087,107,076
  5. Step 5: Solve for x
    x = 52,087,107,076/105,365
  6. Step 6: Final answer
    x = 494,349.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.