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Finding the Third Proportional to 76,331 and 165,368

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Solution

The third proportional to 76,331 and 165,368 is: 358,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,331 : 165,368 = 165,368 : x
  2. Step 2: Convert to fraction form
    76,331/165,368 = 165,368/x
  3. Step 3: Cross multiply
    76,331x = 165,368 × 165,368
  4. Step 4: Simplify right side
    76,331x = 27,346,575,424
  5. Step 5: Solve for x
    x = 27,346,575,424/76,331
  6. Step 6: Final answer
    x = 358,263.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.