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Finding the Third Proportional to 161,289 and 250,249.50

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Solution

The third proportional to 161,289 and 250,249.50 is: 388,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,289 : 250,249.50 = 250,249.50 : x
  2. Step 2: Convert to fraction form
    161,289/250,249.50 = 250,249.50/x
  3. Step 3: Cross multiply
    161,289x = 250,249.50 × 250,249.50
  4. Step 4: Simplify right side
    161,289x = 62,624,812,250.25
  5. Step 5: Solve for x
    x = 62,624,812,250.25/161,289
  6. Step 6: Final answer
    x = 388,277.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.