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Finding the Third Proportional to 202,210 and 291,286

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Solution

The third proportional to 202,210 and 291,286 is: 419,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,210 : 291,286 = 291,286 : x
  2. Step 2: Convert to fraction form
    202,210/291,286 = 291,286/x
  3. Step 3: Cross multiply
    202,210x = 291,286 × 291,286
  4. Step 4: Simplify right side
    202,210x = 84,847,533,796
  5. Step 5: Solve for x
    x = 84,847,533,796/202,210
  6. Step 6: Final answer
    x = 419,601.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.