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Finding the Third Proportional to 161,474.31 and 377,156.75

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Solution

The third proportional to 161,474.31 and 377,156.75 is: 880,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,474.31 : 377,156.75 = 377,156.75 : x
  2. Step 2: Convert to fraction form
    161,474.31/377,156.75 = 377,156.75/x
  3. Step 3: Cross multiply
    161,474.31x = 377,156.75 × 377,156.75
  4. Step 4: Simplify right side
    161,474.31x = 142,247,214,070.56
  5. Step 5: Solve for x
    x = 142,247,214,070.56/161,474.31
  6. Step 6: Final answer
    x = 880,927.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.