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Finding the Third Proportional to 202,574 and 418,108

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Solution

The third proportional to 202,574 and 418,108 is: 862,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,574 : 418,108 = 418,108 : x
  2. Step 2: Convert to fraction form
    202,574/418,108 = 418,108/x
  3. Step 3: Cross multiply
    202,574x = 418,108 × 418,108
  4. Step 4: Simplify right side
    202,574x = 174,814,299,664
  5. Step 5: Solve for x
    x = 174,814,299,664/202,574
  6. Step 6: Final answer
    x = 862,965.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.