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Finding the Third Proportional to 155,311.17 and 334,072.79

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Solution

The third proportional to 155,311.17 and 334,072.79 is: 718,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,311.17 : 334,072.79 = 334,072.79 : x
  2. Step 2: Convert to fraction form
    155,311.17/334,072.79 = 334,072.79/x
  3. Step 3: Cross multiply
    155,311.17x = 334,072.79 × 334,072.79
  4. Step 4: Simplify right side
    155,311.17x = 111,604,631,001.94
  5. Step 5: Solve for x
    x = 111,604,631,001.94/155,311.17
  6. Step 6: Final answer
    x = 718,587.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.