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Finding the Third Proportional to 140,370.38 and 304,388.63

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Solution

The third proportional to 140,370.38 and 304,388.63 is: 660,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,370.38 : 304,388.63 = 304,388.63 : x
  2. Step 2: Convert to fraction form
    140,370.38/304,388.63 = 304,388.63/x
  3. Step 3: Cross multiply
    140,370.38x = 304,388.63 × 304,388.63
  4. Step 4: Simplify right side
    140,370.38x = 92,652,435,029.39
  5. Step 5: Solve for x
    x = 92,652,435,029.39/140,370.38
  6. Step 6: Final answer
    x = 660,056.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.