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Finding the Third Proportional to 152,528.25 and 231,902.25

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Solution

The third proportional to 152,528.25 and 231,902.25 is: 352,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,528.25 : 231,902.25 = 231,902.25 : x
  2. Step 2: Convert to fraction form
    152,528.25/231,902.25 = 231,902.25/x
  3. Step 3: Cross multiply
    152,528.25x = 231,902.25 × 231,902.25
  4. Step 4: Simplify right side
    152,528.25x = 53,778,653,555.06
  5. Step 5: Solve for x
    x = 53,778,653,555.06/152,528.25
  6. Step 6: Final answer
    x = 352,581.59

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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.