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Finding the Third Proportional to 153,183 and 248,686.50

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Solution

The third proportional to 153,183 and 248,686.50 is: 403,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,183 : 248,686.50 = 248,686.50 : x
  2. Step 2: Convert to fraction form
    153,183/248,686.50 = 248,686.50/x
  3. Step 3: Cross multiply
    153,183x = 248,686.50 × 248,686.50
  4. Step 4: Simplify right side
    153,183x = 61,844,975,282.25
  5. Step 5: Solve for x
    x = 61,844,975,282.25/153,183
  6. Step 6: Final answer
    x = 403,732.63

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.