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Finding the Third Proportional to 190,854 and 295,665.75

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Solution

The third proportional to 190,854 and 295,665.75 is: 458,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,854 : 295,665.75 = 295,665.75 : x
  2. Step 2: Convert to fraction form
    190,854/295,665.75 = 295,665.75/x
  3. Step 3: Cross multiply
    190,854x = 295,665.75 × 295,665.75
  4. Step 4: Simplify right side
    190,854x = 87,418,235,723.06
  5. Step 5: Solve for x
    x = 87,418,235,723.06/190,854
  6. Step 6: Final answer
    x = 458,037.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.