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Finding the Third Proportional to 151,752.75 and 228,021

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Solution

The third proportional to 151,752.75 and 228,021 is: 342,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,752.75 : 228,021 = 228,021 : x
  2. Step 2: Convert to fraction form
    151,752.75/228,021 = 228,021/x
  3. Step 3: Cross multiply
    151,752.75x = 228,021 × 228,021
  4. Step 4: Simplify right side
    151,752.75x = 51,993,576,441
  5. Step 5: Solve for x
    x = 51,993,576,441/151,752.75
  6. Step 6: Final answer
    x = 342,620.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.