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Finding the Third Proportional to 150,905.53 and 319,800.66

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Solution

The third proportional to 150,905.53 and 319,800.66 is: 677,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,905.53 : 319,800.66 = 319,800.66 : x
  2. Step 2: Convert to fraction form
    150,905.53/319,800.66 = 319,800.66/x
  3. Step 3: Cross multiply
    150,905.53x = 319,800.66 × 319,800.66
  4. Step 4: Simplify right side
    150,905.53x = 102,272,459,737.93
  5. Step 5: Solve for x
    x = 102,272,459,737.93/150,905.53
  6. Step 6: Final answer
    x = 677,725.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.