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Finding the Third Proportional to 229,166.72 and 336,727.13

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Solution

The third proportional to 229,166.72 and 336,727.13 is: 494,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,166.72 : 336,727.13 = 336,727.13 : x
  2. Step 2: Convert to fraction form
    229,166.72/336,727.13 = 336,727.13/x
  3. Step 3: Cross multiply
    229,166.72x = 336,727.13 × 336,727.13
  4. Step 4: Simplify right side
    229,166.72x = 113,385,156,710.77
  5. Step 5: Solve for x
    x = 113,385,156,710.77/229,166.72
  6. Step 6: Final answer
    x = 494,771.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.