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Finding the Third Proportional to 115,927 and 254,020

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Solution

The third proportional to 115,927 and 254,020 is: 556,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,927 : 254,020 = 254,020 : x
  2. Step 2: Convert to fraction form
    115,927/254,020 = 254,020/x
  3. Step 3: Cross multiply
    115,927x = 254,020 × 254,020
  4. Step 4: Simplify right side
    115,927x = 64,526,160,400
  5. Step 5: Solve for x
    x = 64,526,160,400/115,927
  6. Step 6: Final answer
    x = 556,610.28

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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.