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Finding the Third Proportional to 153,600 and 336,724

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Solution

The third proportional to 153,600 and 336,724 is: 738,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,600 : 336,724 = 336,724 : x
  2. Step 2: Convert to fraction form
    153,600/336,724 = 336,724/x
  3. Step 3: Cross multiply
    153,600x = 336,724 × 336,724
  4. Step 4: Simplify right side
    153,600x = 113,383,052,176
  5. Step 5: Solve for x
    x = 113,383,052,176/153,600
  6. Step 6: Final answer
    x = 738,170.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.