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Finding the Third Proportional to 165,282 and 361,704

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Solution

The third proportional to 165,282 and 361,704 is: 791,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,282 : 361,704 = 361,704 : x
  2. Step 2: Convert to fraction form
    165,282/361,704 = 361,704/x
  3. Step 3: Cross multiply
    165,282x = 361,704 × 361,704
  4. Step 4: Simplify right side
    165,282x = 130,829,783,616
  5. Step 5: Solve for x
    x = 130,829,783,616/165,282
  6. Step 6: Final answer
    x = 791,554.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.