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Finding the Third Proportional to 229,161.66 and 493,429.22

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Solution

The third proportional to 229,161.66 and 493,429.22 is: 1,062,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,161.66 : 493,429.22 = 493,429.22 : x
  2. Step 2: Convert to fraction form
    229,161.66/493,429.22 = 493,429.22/x
  3. Step 3: Cross multiply
    229,161.66x = 493,429.22 × 493,429.22
  4. Step 4: Simplify right side
    229,161.66x = 243,472,393,916.24
  5. Step 5: Solve for x
    x = 243,472,393,916.24/229,161.66
  6. Step 6: Final answer
    x = 1,062,448.22

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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.