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Finding the Third Proportional to 150,031.13 and 354,164.63

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Solution

The third proportional to 150,031.13 and 354,164.63 is: 836,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,031.13 : 354,164.63 = 354,164.63 : x
  2. Step 2: Convert to fraction form
    150,031.13/354,164.63 = 354,164.63/x
  3. Step 3: Cross multiply
    150,031.13x = 354,164.63 × 354,164.63
  4. Step 4: Simplify right side
    150,031.13x = 125,432,581,601.39
  5. Step 5: Solve for x
    x = 125,432,581,601.39/150,031.13
  6. Step 6: Final answer
    x = 836,043.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.