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Finding the Third Proportional to 192,273.75 and 414,117

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Solution

The third proportional to 192,273.75 and 414,117 is: 891,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,273.75 : 414,117 = 414,117 : x
  2. Step 2: Convert to fraction form
    192,273.75/414,117 = 414,117/x
  3. Step 3: Cross multiply
    192,273.75x = 414,117 × 414,117
  4. Step 4: Simplify right side
    192,273.75x = 171,492,889,689
  5. Step 5: Solve for x
    x = 171,492,889,689/192,273.75
  6. Step 6: Final answer
    x = 891,920.45

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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.