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Finding the Third Proportional to 116,947 and 246,119.25

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Solution

The third proportional to 116,947 and 246,119.25 is: 517,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,947 : 246,119.25 = 246,119.25 : x
  2. Step 2: Convert to fraction form
    116,947/246,119.25 = 246,119.25/x
  3. Step 3: Cross multiply
    116,947x = 246,119.25 × 246,119.25
  4. Step 4: Simplify right side
    116,947x = 60,574,685,220.56
  5. Step 5: Solve for x
    x = 60,574,685,220.56/116,947
  6. Step 6: Final answer
    x = 517,966.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.