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Finding the Third Proportional to 102,370 and 222,224

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Solution

The third proportional to 102,370 and 222,224 is: 482,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,370 : 222,224 = 222,224 : x
  2. Step 2: Convert to fraction form
    102,370/222,224 = 222,224/x
  3. Step 3: Cross multiply
    102,370x = 222,224 × 222,224
  4. Step 4: Simplify right side
    102,370x = 49,383,506,176
  5. Step 5: Solve for x
    x = 49,383,506,176/102,370
  6. Step 6: Final answer
    x = 482,402.13

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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.