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Finding the Third Proportional to 134,990 and 201,392

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Solution

The third proportional to 134,990 and 201,392 is: 300,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,990 : 201,392 = 201,392 : x
  2. Step 2: Convert to fraction form
    134,990/201,392 = 201,392/x
  3. Step 3: Cross multiply
    134,990x = 201,392 × 201,392
  4. Step 4: Simplify right side
    134,990x = 40,558,737,664
  5. Step 5: Solve for x
    x = 40,558,737,664/134,990
  6. Step 6: Final answer
    x = 300,457.35

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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.