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Finding the Third Proportional to 136,224 and 202,392

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Solution

The third proportional to 136,224 and 202,392 is: 300,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,224 : 202,392 = 202,392 : x
  2. Step 2: Convert to fraction form
    136,224/202,392 = 202,392/x
  3. Step 3: Cross multiply
    136,224x = 202,392 × 202,392
  4. Step 4: Simplify right side
    136,224x = 40,962,521,664
  5. Step 5: Solve for x
    x = 40,962,521,664/136,224
  6. Step 6: Final answer
    x = 300,699.74

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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.