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Finding the Third Proportional to 104,364 and 223,486

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Solution

The third proportional to 104,364 and 223,486 is: 478,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,364 : 223,486 = 223,486 : x
  2. Step 2: Convert to fraction form
    104,364/223,486 = 223,486/x
  3. Step 3: Cross multiply
    104,364x = 223,486 × 223,486
  4. Step 4: Simplify right side
    104,364x = 49,945,992,196
  5. Step 5: Solve for x
    x = 49,945,992,196/104,364
  6. Step 6: Final answer
    x = 478,574.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.