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Finding the Third Proportional to 146,841 and 211,996.50

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Solution

The third proportional to 146,841 and 211,996.50 is: 306,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,841 : 211,996.50 = 211,996.50 : x
  2. Step 2: Convert to fraction form
    146,841/211,996.50 = 211,996.50/x
  3. Step 3: Cross multiply
    146,841x = 211,996.50 × 211,996.50
  4. Step 4: Simplify right side
    146,841x = 44,942,516,012.25
  5. Step 5: Solve for x
    x = 44,942,516,012.25/146,841
  6. Step 6: Final answer
    x = 306,062.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.