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Finding the Third Proportional to 134,946 and 202,446

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Solution

The third proportional to 134,946 and 202,446 is: 303,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 202,446 = 202,446 : x
  2. Step 2: Convert to fraction form
    134,946/202,446 = 202,446/x
  3. Step 3: Cross multiply
    134,946x = 202,446 × 202,446
  4. Step 4: Simplify right side
    134,946x = 40,984,382,916
  5. Step 5: Solve for x
    x = 40,984,382,916/134,946
  6. Step 6: Final answer
    x = 303,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.