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Finding the Third Proportional to 103,324 and 219,048

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Solution

The third proportional to 103,324 and 219,048 is: 464,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,324 : 219,048 = 219,048 : x
  2. Step 2: Convert to fraction form
    103,324/219,048 = 219,048/x
  3. Step 3: Cross multiply
    103,324x = 219,048 × 219,048
  4. Step 4: Simplify right side
    103,324x = 47,982,026,304
  5. Step 5: Solve for x
    x = 47,982,026,304/103,324
  6. Step 6: Final answer
    x = 464,384.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.