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Finding the Third Proportional to 116,505 and 254,817

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Solution

The third proportional to 116,505 and 254,817 is: 557,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,505 : 254,817 = 254,817 : x
  2. Step 2: Convert to fraction form
    116,505/254,817 = 254,817/x
  3. Step 3: Cross multiply
    116,505x = 254,817 × 254,817
  4. Step 4: Simplify right side
    116,505x = 64,931,703,489
  5. Step 5: Solve for x
    x = 64,931,703,489/116,505
  6. Step 6: Final answer
    x = 557,329.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.