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Finding the Third Proportional to 115,930 and 244,313

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Solution

The third proportional to 115,930 and 244,313 is: 514,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,930 : 244,313 = 244,313 : x
  2. Step 2: Convert to fraction form
    115,930/244,313 = 244,313/x
  3. Step 3: Cross multiply
    115,930x = 244,313 × 244,313
  4. Step 4: Simplify right side
    115,930x = 59,688,841,969
  5. Step 5: Solve for x
    x = 59,688,841,969/115,930
  6. Step 6: Final answer
    x = 514,869.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.