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Finding the Third Proportional to 103,234 and 223,364

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Solution

The third proportional to 103,234 and 223,364 is: 483,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234 : 223,364 = 223,364 : x
  2. Step 2: Convert to fraction form
    103,234/223,364 = 223,364/x
  3. Step 3: Cross multiply
    103,234x = 223,364 × 223,364
  4. Step 4: Simplify right side
    103,234x = 49,891,476,496
  5. Step 5: Solve for x
    x = 49,891,476,496/103,234
  6. Step 6: Final answer
    x = 483,285.32

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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.