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Finding the Third Proportional to 161,121 and 248,971.50

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Solution

The third proportional to 161,121 and 248,971.50 is: 384,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,121 : 248,971.50 = 248,971.50 : x
  2. Step 2: Convert to fraction form
    161,121/248,971.50 = 248,971.50/x
  3. Step 3: Cross multiply
    161,121x = 248,971.50 × 248,971.50
  4. Step 4: Simplify right side
    161,121x = 61,986,807,812.25
  5. Step 5: Solve for x
    x = 61,986,807,812.25/161,121
  6. Step 6: Final answer
    x = 384,722.09

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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.