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Finding the Third Proportional to 208,680.75 and 313,065

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Solution

The third proportional to 208,680.75 and 313,065 is: 469,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,680.75 : 313,065 = 313,065 : x
  2. Step 2: Convert to fraction form
    208,680.75/313,065 = 313,065/x
  3. Step 3: Cross multiply
    208,680.75x = 313,065 × 313,065
  4. Step 4: Simplify right side
    208,680.75x = 98,009,694,225
  5. Step 5: Solve for x
    x = 98,009,694,225/208,680.75
  6. Step 6: Final answer
    x = 469,663.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.