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Finding the Third Proportional to 165,802 and 361,028

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Solution

The third proportional to 165,802 and 361,028 is: 786,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,802 : 361,028 = 361,028 : x
  2. Step 2: Convert to fraction form
    165,802/361,028 = 361,028/x
  3. Step 3: Cross multiply
    165,802x = 361,028 × 361,028
  4. Step 4: Simplify right side
    165,802x = 130,341,216,784
  5. Step 5: Solve for x
    x = 130,341,216,784/165,802
  6. Step 6: Final answer
    x = 786,125.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.