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Finding the Third Proportional to 190,793 and 302,045

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Solution

The third proportional to 190,793 and 302,045 is: 478,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,793 : 302,045 = 302,045 : x
  2. Step 2: Convert to fraction form
    190,793/302,045 = 302,045/x
  3. Step 3: Cross multiply
    190,793x = 302,045 × 302,045
  4. Step 4: Simplify right side
    190,793x = 91,231,182,025
  5. Step 5: Solve for x
    x = 91,231,182,025/190,793
  6. Step 6: Final answer
    x = 478,168.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.