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Finding the Third Proportional to 229,770.75 and 336,646.13

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Solution

The third proportional to 229,770.75 and 336,646.13 is: 493,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,770.75 : 336,646.13 = 336,646.13 : x
  2. Step 2: Convert to fraction form
    229,770.75/336,646.13 = 336,646.13/x
  3. Step 3: Cross multiply
    229,770.75x = 336,646.13 × 336,646.13
  4. Step 4: Simplify right side
    229,770.75x = 113,330,613,477.52
  5. Step 5: Solve for x
    x = 113,330,613,477.52/229,770.75
  6. Step 6: Final answer
    x = 493,233.42

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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.