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Finding the Third Proportional to 169,996.50 and 230,032

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Solution

The third proportional to 169,996.50 and 230,032 is: 311,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,996.50 : 230,032 = 230,032 : x
  2. Step 2: Convert to fraction form
    169,996.50/230,032 = 230,032/x
  3. Step 3: Cross multiply
    169,996.50x = 230,032 × 230,032
  4. Step 4: Simplify right side
    169,996.50x = 52,914,721,024
  5. Step 5: Solve for x
    x = 52,914,721,024/169,996.50
  6. Step 6: Final answer
    x = 311,269.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.