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Finding the Third Proportional to 116,022 and 245,772

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Solution

The third proportional to 116,022 and 245,772 is: 520,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,022 : 245,772 = 245,772 : x
  2. Step 2: Convert to fraction form
    116,022/245,772 = 245,772/x
  3. Step 3: Cross multiply
    116,022x = 245,772 × 245,772
  4. Step 4: Simplify right side
    116,022x = 60,403,875,984
  5. Step 5: Solve for x
    x = 60,403,875,984/116,022
  6. Step 6: Final answer
    x = 520,624.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.