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Finding the Third Proportional to 152,526.25 and 231,899

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Solution

The third proportional to 152,526.25 and 231,899 is: 352,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,526.25 : 231,899 = 231,899 : x
  2. Step 2: Convert to fraction form
    152,526.25/231,899 = 231,899/x
  3. Step 3: Cross multiply
    152,526.25x = 231,899 × 231,899
  4. Step 4: Simplify right side
    152,526.25x = 53,777,146,201
  5. Step 5: Solve for x
    x = 53,777,146,201/152,526.25
  6. Step 6: Final answer
    x = 352,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.