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Finding the Third Proportional to 229,345.50 and 518,150.50

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Solution

The third proportional to 229,345.50 and 518,150.50 is: 1,170,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,345.50 : 518,150.50 = 518,150.50 : x
  2. Step 2: Convert to fraction form
    229,345.50/518,150.50 = 518,150.50/x
  3. Step 3: Cross multiply
    229,345.50x = 518,150.50 × 518,150.50
  4. Step 4: Simplify right side
    229,345.50x = 268,479,940,650.25
  5. Step 5: Solve for x
    x = 268,479,940,650.25/229,345.50
  6. Step 6: Final answer
    x = 1,170,635.31

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.