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Finding the Third Proportional to 183,465.50 and 291,874

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Solution

The third proportional to 183,465.50 and 291,874 is: 464,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,465.50 : 291,874 = 291,874 : x
  2. Step 2: Convert to fraction form
    183,465.50/291,874 = 291,874/x
  3. Step 3: Cross multiply
    183,465.50x = 291,874 × 291,874
  4. Step 4: Simplify right side
    183,465.50x = 85,190,431,876
  5. Step 5: Solve for x
    x = 85,190,431,876/183,465.50
  6. Step 6: Final answer
    x = 464,340.34

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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.