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Finding the Third Proportional to 105,416 and 228,328

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Solution

The third proportional to 105,416 and 228,328 is: 494,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,416 : 228,328 = 228,328 : x
  2. Step 2: Convert to fraction form
    105,416/228,328 = 228,328/x
  3. Step 3: Cross multiply
    105,416x = 228,328 × 228,328
  4. Step 4: Simplify right side
    105,416x = 52,133,675,584
  5. Step 5: Solve for x
    x = 52,133,675,584/105,416
  6. Step 6: Final answer
    x = 494,551.83

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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.