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Finding the Third Proportional to 190,750 and 294,892

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Solution

The third proportional to 190,750 and 294,892 is: 455,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,750 : 294,892 = 294,892 : x
  2. Step 2: Convert to fraction form
    190,750/294,892 = 294,892/x
  3. Step 3: Cross multiply
    190,750x = 294,892 × 294,892
  4. Step 4: Simplify right side
    190,750x = 86,961,291,664
  5. Step 5: Solve for x
    x = 86,961,291,664/190,750
  6. Step 6: Final answer
    x = 455,891.44

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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.