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Finding the Third Proportional to 165,498 and 255,737

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Solution

The third proportional to 165,498 and 255,737 is: 395,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,498 : 255,737 = 255,737 : x
  2. Step 2: Convert to fraction form
    165,498/255,737 = 255,737/x
  3. Step 3: Cross multiply
    165,498x = 255,737 × 255,737
  4. Step 4: Simplify right side
    165,498x = 65,401,413,169
  5. Step 5: Solve for x
    x = 65,401,413,169/165,498
  6. Step 6: Final answer
    x = 395,179.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.