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Finding the Third Proportional to 102,290 and 224,804

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Solution

The third proportional to 102,290 and 224,804 is: 494,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,290 : 224,804 = 224,804 : x
  2. Step 2: Convert to fraction form
    102,290/224,804 = 224,804/x
  3. Step 3: Cross multiply
    102,290x = 224,804 × 224,804
  4. Step 4: Simplify right side
    102,290x = 50,536,838,416
  5. Step 5: Solve for x
    x = 50,536,838,416/102,290
  6. Step 6: Final answer
    x = 494,054.54

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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.