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Finding the Third Proportional to 141,128 and 200,604

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Solution

The third proportional to 141,128 and 200,604 is: 285,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,128 : 200,604 = 200,604 : x
  2. Step 2: Convert to fraction form
    141,128/200,604 = 200,604/x
  3. Step 3: Cross multiply
    141,128x = 200,604 × 200,604
  4. Step 4: Simplify right side
    141,128x = 40,241,964,816
  5. Step 5: Solve for x
    x = 40,241,964,816/141,128
  6. Step 6: Final answer
    x = 285,145.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.