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Finding the Third Proportional to 155,424 and 236,175

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Solution

The third proportional to 155,424 and 236,175 is: 358,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,424 : 236,175 = 236,175 : x
  2. Step 2: Convert to fraction form
    155,424/236,175 = 236,175/x
  3. Step 3: Cross multiply
    155,424x = 236,175 × 236,175
  4. Step 4: Simplify right side
    155,424x = 55,778,630,625
  5. Step 5: Solve for x
    x = 55,778,630,625/155,424
  6. Step 6: Final answer
    x = 358,880.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.