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Finding the Third Proportional to 202,572 and 418,104

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Solution

The third proportional to 202,572 and 418,104 is: 862,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,572 : 418,104 = 418,104 : x
  2. Step 2: Convert to fraction form
    202,572/418,104 = 418,104/x
  3. Step 3: Cross multiply
    202,572x = 418,104 × 418,104
  4. Step 4: Simplify right side
    202,572x = 174,810,954,816
  5. Step 5: Solve for x
    x = 174,810,954,816/202,572
  6. Step 6: Final answer
    x = 862,957.15

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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.