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Finding the Third Proportional to 115,930 and 254,000

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Solution

The third proportional to 115,930 and 254,000 is: 556,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,930 : 254,000 = 254,000 : x
  2. Step 2: Convert to fraction form
    115,930/254,000 = 254,000/x
  3. Step 3: Cross multiply
    115,930x = 254,000 × 254,000
  4. Step 4: Simplify right side
    115,930x = 64,516,000,000
  5. Step 5: Solve for x
    x = 64,516,000,000/115,930
  6. Step 6: Final answer
    x = 556,508.24

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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.