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Finding the Third Proportional to 152,728.59 and 335,505.66

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Solution

The third proportional to 152,728.59 and 335,505.66 is: 737,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,728.59 : 335,505.66 = 335,505.66 : x
  2. Step 2: Convert to fraction form
    152,728.59/335,505.66 = 335,505.66/x
  3. Step 3: Cross multiply
    152,728.59x = 335,505.66 × 335,505.66
  4. Step 4: Simplify right side
    152,728.59x = 112,564,045,375.74
  5. Step 5: Solve for x
    x = 112,564,045,375.74/152,728.59
  6. Step 6: Final answer
    x = 737,020.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.