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Finding the Third Proportional to 151,147.69 and 228,422.53

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Solution

The third proportional to 151,147.69 and 228,422.53 is: 345,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,147.69 : 228,422.53 = 228,422.53 : x
  2. Step 2: Convert to fraction form
    151,147.69/228,422.53 = 228,422.53/x
  3. Step 3: Cross multiply
    151,147.69x = 228,422.53 × 228,422.53
  4. Step 4: Simplify right side
    151,147.69x = 52,176,852,782.66
  5. Step 5: Solve for x
    x = 52,176,852,782.66/151,147.69
  6. Step 6: Final answer
    x = 345,204.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.