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Finding the Third Proportional to 190,413 and 413,651.25

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Solution

The third proportional to 190,413 and 413,651.25 is: 898,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,413 : 413,651.25 = 413,651.25 : x
  2. Step 2: Convert to fraction form
    190,413/413,651.25 = 413,651.25/x
  3. Step 3: Cross multiply
    190,413x = 413,651.25 × 413,651.25
  4. Step 4: Simplify right side
    190,413x = 171,107,356,626.56
  5. Step 5: Solve for x
    x = 171,107,356,626.56/190,413
  6. Step 6: Final answer
    x = 898,611.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.