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Finding the Third Proportional to 266,908.50 and 313,964.25

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Solution

The third proportional to 266,908.50 and 313,964.25 is: 369,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,908.50 : 313,964.25 = 313,964.25 : x
  2. Step 2: Convert to fraction form
    266,908.50/313,964.25 = 313,964.25/x
  3. Step 3: Cross multiply
    266,908.50x = 313,964.25 × 313,964.25
  4. Step 4: Simplify right side
    266,908.50x = 98,573,550,278.06
  5. Step 5: Solve for x
    x = 98,573,550,278.06/266,908.50
  6. Step 6: Final answer
    x = 369,315.89

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.