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Finding the Third Proportional to 162,787 and 338,050

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Solution

The third proportional to 162,787 and 338,050 is: 702,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,787 : 338,050 = 338,050 : x
  2. Step 2: Convert to fraction form
    162,787/338,050 = 338,050/x
  3. Step 3: Cross multiply
    162,787x = 338,050 × 338,050
  4. Step 4: Simplify right side
    162,787x = 114,277,802,500
  5. Step 5: Solve for x
    x = 114,277,802,500/162,787
  6. Step 6: Final answer
    x = 702,008.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.