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Finding the Third Proportional to 150,072 and 354,253.50

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Solution

The third proportional to 150,072 and 354,253.50 is: 836,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,072 : 354,253.50 = 354,253.50 : x
  2. Step 2: Convert to fraction form
    150,072/354,253.50 = 354,253.50/x
  3. Step 3: Cross multiply
    150,072x = 354,253.50 × 354,253.50
  4. Step 4: Simplify right side
    150,072x = 125,495,542,262.25
  5. Step 5: Solve for x
    x = 125,495,542,262.25/150,072
  6. Step 6: Final answer
    x = 836,235.56

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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.