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Finding the Third Proportional to 118,424 and 177,276

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Solution

The third proportional to 118,424 and 177,276 is: 265,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,424 : 177,276 = 177,276 : x
  2. Step 2: Convert to fraction form
    118,424/177,276 = 177,276/x
  3. Step 3: Cross multiply
    118,424x = 177,276 × 177,276
  4. Step 4: Simplify right side
    118,424x = 31,426,780,176
  5. Step 5: Solve for x
    x = 31,426,780,176/118,424
  6. Step 6: Final answer
    x = 265,375.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.