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Finding the Third Proportional to 190,098 and 402,036.75

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Solution

The third proportional to 190,098 and 402,036.75 is: 850,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,098 : 402,036.75 = 402,036.75 : x
  2. Step 2: Convert to fraction form
    190,098/402,036.75 = 402,036.75/x
  3. Step 3: Cross multiply
    190,098x = 402,036.75 × 402,036.75
  4. Step 4: Simplify right side
    190,098x = 161,633,548,350.56
  5. Step 5: Solve for x
    x = 161,633,548,350.56/190,098
  6. Step 6: Final answer
    x = 850,264.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.