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Finding the Third Proportional to 140,358 and 203,166

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Solution

The third proportional to 140,358 and 203,166 is: 294,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,358 : 203,166 = 203,166 : x
  2. Step 2: Convert to fraction form
    140,358/203,166 = 203,166/x
  3. Step 3: Cross multiply
    140,358x = 203,166 × 203,166
  4. Step 4: Simplify right side
    140,358x = 41,276,423,556
  5. Step 5: Solve for x
    x = 41,276,423,556/140,358
  6. Step 6: Final answer
    x = 294,079.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.