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Finding the Third Proportional to 165,016 and 338,776

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Solution

The third proportional to 165,016 and 338,776 is: 695,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,016 : 338,776 = 338,776 : x
  2. Step 2: Convert to fraction form
    165,016/338,776 = 338,776/x
  3. Step 3: Cross multiply
    165,016x = 338,776 × 338,776
  4. Step 4: Simplify right side
    165,016x = 114,769,178,176
  5. Step 5: Solve for x
    x = 114,769,178,176/165,016
  6. Step 6: Final answer
    x = 695,503.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.