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Finding the Third Proportional to 231,911.16 and 498,881.53

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Solution

The third proportional to 231,911.16 and 498,881.53 is: 1,073,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,911.16 : 498,881.53 = 498,881.53 : x
  2. Step 2: Convert to fraction form
    231,911.16/498,881.53 = 498,881.53/x
  3. Step 3: Cross multiply
    231,911.16x = 498,881.53 × 498,881.53
  4. Step 4: Simplify right side
    231,911.16x = 248,882,782,222.35
  5. Step 5: Solve for x
    x = 248,882,782,222.35/231,911.16
  6. Step 6: Final answer
    x = 1,073,181.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.