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Finding the Third Proportional to 183,170 and 290,595

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Solution

The third proportional to 183,170 and 290,595 is: 461,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,170 : 290,595 = 290,595 : x
  2. Step 2: Convert to fraction form
    183,170/290,595 = 290,595/x
  3. Step 3: Cross multiply
    183,170x = 290,595 × 290,595
  4. Step 4: Simplify right side
    183,170x = 84,445,454,025
  5. Step 5: Solve for x
    x = 84,445,454,025/183,170
  6. Step 6: Final answer
    x = 461,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.