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Finding the Third Proportional to 161,806 and 253,271

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Solution

The third proportional to 161,806 and 253,271 is: 396,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,806 : 253,271 = 253,271 : x
  2. Step 2: Convert to fraction form
    161,806/253,271 = 253,271/x
  3. Step 3: Cross multiply
    161,806x = 253,271 × 253,271
  4. Step 4: Simplify right side
    161,806x = 64,146,199,441
  5. Step 5: Solve for x
    x = 64,146,199,441/161,806
  6. Step 6: Final answer
    x = 396,438.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.