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Finding the Third Proportional to 119,874 and 254,532

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Solution

The third proportional to 119,874 and 254,532 is: 540,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,874 : 254,532 = 254,532 : x
  2. Step 2: Convert to fraction form
    119,874/254,532 = 254,532/x
  3. Step 3: Cross multiply
    119,874x = 254,532 × 254,532
  4. Step 4: Simplify right side
    119,874x = 64,786,539,024
  5. Step 5: Solve for x
    x = 64,786,539,024/119,874
  6. Step 6: Final answer
    x = 540,455.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.