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Finding the Third Proportional to 229,164 and 336,720

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Solution

The third proportional to 229,164 and 336,720 is: 494,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,164 : 336,720 = 336,720 : x
  2. Step 2: Convert to fraction form
    229,164/336,720 = 336,720/x
  3. Step 3: Cross multiply
    229,164x = 336,720 × 336,720
  4. Step 4: Simplify right side
    229,164x = 113,380,358,400
  5. Step 5: Solve for x
    x = 113,380,358,400/229,164
  6. Step 6: Final answer
    x = 494,756.41

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