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Finding the Third Proportional to 105,482 and 228,388

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Solution

The third proportional to 105,482 and 228,388 is: 494,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482 : 228,388 = 228,388 : x
  2. Step 2: Convert to fraction form
    105,482/228,388 = 228,388/x
  3. Step 3: Cross multiply
    105,482x = 228,388 × 228,388
  4. Step 4: Simplify right side
    105,482x = 52,161,078,544
  5. Step 5: Solve for x
    x = 52,161,078,544/105,482
  6. Step 6: Final answer
    x = 494,502.18

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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.