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Finding the Third Proportional to 201,747 and 425,958

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Solution

The third proportional to 201,747 and 425,958 is: 899,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,747 : 425,958 = 425,958 : x
  2. Step 2: Convert to fraction form
    201,747/425,958 = 425,958/x
  3. Step 3: Cross multiply
    201,747x = 425,958 × 425,958
  4. Step 4: Simplify right side
    201,747x = 181,440,217,764
  5. Step 5: Solve for x
    x = 181,440,217,764/201,747
  6. Step 6: Final answer
    x = 899,345.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.