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Finding the Third Proportional to 102,364 and 221,494

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Solution

The third proportional to 102,364 and 221,494 is: 479,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364 : 221,494 = 221,494 : x
  2. Step 2: Convert to fraction form
    102,364/221,494 = 221,494/x
  3. Step 3: Cross multiply
    102,364x = 221,494 × 221,494
  4. Step 4: Simplify right side
    102,364x = 49,059,592,036
  5. Step 5: Solve for x
    x = 49,059,592,036/102,364
  6. Step 6: Final answer
    x = 479,266.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.