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Finding the Third Proportional to 102,114 and 224,364

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Solution

The third proportional to 102,114 and 224,364 is: 492,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114 : 224,364 = 224,364 : x
  2. Step 2: Convert to fraction form
    102,114/224,364 = 224,364/x
  3. Step 3: Cross multiply
    102,114x = 224,364 × 224,364
  4. Step 4: Simplify right side
    102,114x = 50,339,204,496
  5. Step 5: Solve for x
    x = 50,339,204,496/102,114
  6. Step 6: Final answer
    x = 492,970.65

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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.