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Finding the Third Proportional to 140,955 and 193,288

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Solution

The third proportional to 140,955 and 193,288 is: 265,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,955 : 193,288 = 193,288 : x
  2. Step 2: Convert to fraction form
    140,955/193,288 = 193,288/x
  3. Step 3: Cross multiply
    140,955x = 193,288 × 193,288
  4. Step 4: Simplify right side
    140,955x = 37,360,250,944
  5. Step 5: Solve for x
    x = 37,360,250,944/140,955
  6. Step 6: Final answer
    x = 265,050.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.