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Finding the Third Proportional to 183,525.75 and 290,061

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Solution

The third proportional to 183,525.75 and 290,061 is: 458,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,525.75 : 290,061 = 290,061 : x
  2. Step 2: Convert to fraction form
    183,525.75/290,061 = 290,061/x
  3. Step 3: Cross multiply
    183,525.75x = 290,061 × 290,061
  4. Step 4: Simplify right side
    183,525.75x = 84,135,383,721
  5. Step 5: Solve for x
    x = 84,135,383,721/183,525.75
  6. Step 6: Final answer
    x = 458,439.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.