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Finding the Third Proportional to 201,096 and 425,520

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Solution

The third proportional to 201,096 and 425,520 is: 900,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096 : 425,520 = 425,520 : x
  2. Step 2: Convert to fraction form
    201,096/425,520 = 425,520/x
  3. Step 3: Cross multiply
    201,096x = 425,520 × 425,520
  4. Step 4: Simplify right side
    201,096x = 181,067,270,400
  5. Step 5: Solve for x
    x = 181,067,270,400/201,096
  6. Step 6: Final answer
    x = 900,402.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.