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Finding the Third Proportional to 77,604 and 165,384

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Solution

The third proportional to 77,604 and 165,384 is: 352,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,604 : 165,384 = 165,384 : x
  2. Step 2: Convert to fraction form
    77,604/165,384 = 165,384/x
  3. Step 3: Cross multiply
    77,604x = 165,384 × 165,384
  4. Step 4: Simplify right side
    77,604x = 27,351,867,456
  5. Step 5: Solve for x
    x = 27,351,867,456/77,604
  6. Step 6: Final answer
    x = 352,454.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.