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Finding the Third Proportional to 165,060 and 346,320

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Solution

The third proportional to 165,060 and 346,320 is: 726,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,060 : 346,320 = 346,320 : x
  2. Step 2: Convert to fraction form
    165,060/346,320 = 346,320/x
  3. Step 3: Cross multiply
    165,060x = 346,320 × 346,320
  4. Step 4: Simplify right side
    165,060x = 119,937,542,400
  5. Step 5: Solve for x
    x = 119,937,542,400/165,060
  6. Step 6: Final answer
    x = 726,629.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.