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Finding the Third Proportional to 116,977.13 and 239,487

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Solution

The third proportional to 116,977.13 and 239,487 is: 490,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,977.13 : 239,487 = 239,487 : x
  2. Step 2: Convert to fraction form
    116,977.13/239,487 = 239,487/x
  3. Step 3: Cross multiply
    116,977.13x = 239,487 × 239,487
  4. Step 4: Simplify right side
    116,977.13x = 57,354,023,169
  5. Step 5: Solve for x
    x = 57,354,023,169/116,977.13
  6. Step 6: Final answer
    x = 490,301.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.