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Finding the Third Proportional to 202,344.75 and 291,465

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Solution

The third proportional to 202,344.75 and 291,465 is: 419,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,344.75 : 291,465 = 291,465 : x
  2. Step 2: Convert to fraction form
    202,344.75/291,465 = 291,465/x
  3. Step 3: Cross multiply
    202,344.75x = 291,465 × 291,465
  4. Step 4: Simplify right side
    202,344.75x = 84,951,846,225
  5. Step 5: Solve for x
    x = 84,951,846,225/202,344.75
  6. Step 6: Final answer
    x = 419,837.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.