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Finding the Third Proportional to 105,150.75 and 228,048

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Solution

The third proportional to 105,150.75 and 228,048 is: 494,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,150.75 : 228,048 = 228,048 : x
  2. Step 2: Convert to fraction form
    105,150.75/228,048 = 228,048/x
  3. Step 3: Cross multiply
    105,150.75x = 228,048 × 228,048
  4. Step 4: Simplify right side
    105,150.75x = 52,005,890,304
  5. Step 5: Solve for x
    x = 52,005,890,304/105,150.75
  6. Step 6: Final answer
    x = 494,584.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.