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Finding the Third Proportional to 150,062.50 and 228,904.50

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Solution

The third proportional to 150,062.50 and 228,904.50 is: 349,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,062.50 : 228,904.50 = 228,904.50 : x
  2. Step 2: Convert to fraction form
    150,062.50/228,904.50 = 228,904.50/x
  3. Step 3: Cross multiply
    150,062.50x = 228,904.50 × 228,904.50
  4. Step 4: Simplify right side
    150,062.50x = 52,397,270,120.25
  5. Step 5: Solve for x
    x = 52,397,270,120.25/150,062.50
  6. Step 6: Final answer
    x = 349,169.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.