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Finding the Third Proportional to 75,456 and 170,368

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Solution

The third proportional to 75,456 and 170,368 is: 384,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 170,368 = 170,368 : x
  2. Step 2: Convert to fraction form
    75,456/170,368 = 170,368/x
  3. Step 3: Cross multiply
    75,456x = 170,368 × 170,368
  4. Step 4: Simplify right side
    75,456x = 29,025,255,424
  5. Step 5: Solve for x
    x = 29,025,255,424/75,456
  6. Step 6: Final answer
    x = 384,664.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.