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Finding the Third Proportional to 70,415.44 and 156,573.56

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Solution

The third proportional to 70,415.44 and 156,573.56 is: 348,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,415.44 : 156,573.56 = 156,573.56 : x
  2. Step 2: Convert to fraction form
    70,415.44/156,573.56 = 156,573.56/x
  3. Step 3: Cross multiply
    70,415.44x = 156,573.56 × 156,573.56
  4. Step 4: Simplify right side
    70,415.44x = 24,515,280,473.94
  5. Step 5: Solve for x
    x = 24,515,280,473.94/70,415.44
  6. Step 6: Final answer
    x = 348,152.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.