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Finding the Third Proportional to 147,830.50 and 306,161

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Solution

The third proportional to 147,830.50 and 306,161 is: 634,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,830.50 : 306,161 = 306,161 : x
  2. Step 2: Convert to fraction form
    147,830.50/306,161 = 306,161/x
  3. Step 3: Cross multiply
    147,830.50x = 306,161 × 306,161
  4. Step 4: Simplify right side
    147,830.50x = 93,734,557,921
  5. Step 5: Solve for x
    x = 93,734,557,921/147,830.50
  6. Step 6: Final answer
    x = 634,067.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.