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Finding the Third Proportional to 161,562.75 and 339,658.50

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Solution

The third proportional to 161,562.75 and 339,658.50 is: 714,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,562.75 : 339,658.50 = 339,658.50 : x
  2. Step 2: Convert to fraction form
    161,562.75/339,658.50 = 339,658.50/x
  3. Step 3: Cross multiply
    161,562.75x = 339,658.50 × 339,658.50
  4. Step 4: Simplify right side
    161,562.75x = 115,367,896,622.25
  5. Step 5: Solve for x
    x = 115,367,896,622.25/161,562.75
  6. Step 6: Final answer
    x = 714,074.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.