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Finding the Third Proportional to 202,133 and 336,860

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Solution

The third proportional to 202,133 and 336,860 is: 561,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133 : 336,860 = 336,860 : x
  2. Step 2: Convert to fraction form
    202,133/336,860 = 336,860/x
  3. Step 3: Cross multiply
    202,133x = 336,860 × 336,860
  4. Step 4: Simplify right side
    202,133x = 113,474,659,600
  5. Step 5: Solve for x
    x = 113,474,659,600/202,133
  6. Step 6: Final answer
    x = 561,386.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.