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Finding the Third Proportional to 159,202 and 236,579

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Solution

The third proportional to 159,202 and 236,579 is: 351,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202 : 236,579 = 236,579 : x
  2. Step 2: Convert to fraction form
    159,202/236,579 = 236,579/x
  3. Step 3: Cross multiply
    159,202x = 236,579 × 236,579
  4. Step 4: Simplify right side
    159,202x = 55,969,623,241
  5. Step 5: Solve for x
    x = 55,969,623,241/159,202
  6. Step 6: Final answer
    x = 351,563.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.