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Finding the Third Proportional to 114,724 and 247,022

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Solution

The third proportional to 114,724 and 247,022 is: 531,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,724 : 247,022 = 247,022 : x
  2. Step 2: Convert to fraction form
    114,724/247,022 = 247,022/x
  3. Step 3: Cross multiply
    114,724x = 247,022 × 247,022
  4. Step 4: Simplify right side
    114,724x = 61,019,868,484
  5. Step 5: Solve for x
    x = 61,019,868,484/114,724
  6. Step 6: Final answer
    x = 531,884.07

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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.