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Finding the Third Proportional to 102,106 and 224,348

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Solution

The third proportional to 102,106 and 224,348 is: 492,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106 : 224,348 = 224,348 : x
  2. Step 2: Convert to fraction form
    102,106/224,348 = 224,348/x
  3. Step 3: Cross multiply
    102,106x = 224,348 × 224,348
  4. Step 4: Simplify right side
    102,106x = 50,332,025,104
  5. Step 5: Solve for x
    x = 50,332,025,104/102,106
  6. Step 6: Final answer
    x = 492,938.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.