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Finding the Third Proportional to 118,900 and 179,358

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Solution

The third proportional to 118,900 and 179,358 is: 270,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,900 : 179,358 = 179,358 : x
  2. Step 2: Convert to fraction form
    118,900/179,358 = 179,358/x
  3. Step 3: Cross multiply
    118,900x = 179,358 × 179,358
  4. Step 4: Simplify right side
    118,900x = 32,169,292,164
  5. Step 5: Solve for x
    x = 32,169,292,164/118,900
  6. Step 6: Final answer
    x = 270,557.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.