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Finding the Third Proportional to 118,416 and 177,264

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Solution

The third proportional to 118,416 and 177,264 is: 265,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416 : 177,264 = 177,264 : x
  2. Step 2: Convert to fraction form
    118,416/177,264 = 177,264/x
  3. Step 3: Cross multiply
    118,416x = 177,264 × 177,264
  4. Step 4: Simplify right side
    118,416x = 31,422,525,696
  5. Step 5: Solve for x
    x = 31,422,525,696/118,416
  6. Step 6: Final answer
    x = 265,357.09

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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.