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Finding the Third Proportional to 229,464.94 and 322,566.66

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Solution

The third proportional to 229,464.94 and 322,566.66 is: 453,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,464.94 : 322,566.66 = 322,566.66 : x
  2. Step 2: Convert to fraction form
    229,464.94/322,566.66 = 322,566.66/x
  3. Step 3: Cross multiply
    229,464.94x = 322,566.66 × 322,566.66
  4. Step 4: Simplify right side
    229,464.94x = 104,049,247,724.31
  5. Step 5: Solve for x
    x = 104,049,247,724.31/229,464.94
  6. Step 6: Final answer
    x = 453,442.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.