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Finding the Third Proportional to 150,035.63 and 354,175.88

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Solution

The third proportional to 150,035.63 and 354,175.88 is: 836,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,035.63 : 354,175.88 = 354,175.88 : x
  2. Step 2: Convert to fraction form
    150,035.63/354,175.88 = 354,175.88/x
  3. Step 3: Cross multiply
    150,035.63x = 354,175.88 × 354,175.88
  4. Step 4: Simplify right side
    150,035.63x = 125,440,550,432.02
  5. Step 5: Solve for x
    x = 125,440,550,432.02/150,035.63
  6. Step 6: Final answer
    x = 836,071.77

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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.