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Finding the Third Proportional to 119,950 and 254,660

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Solution

The third proportional to 119,950 and 254,660 is: 540,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,950 : 254,660 = 254,660 : x
  2. Step 2: Convert to fraction form
    119,950/254,660 = 254,660/x
  3. Step 3: Cross multiply
    119,950x = 254,660 × 254,660
  4. Step 4: Simplify right side
    119,950x = 64,851,715,600
  5. Step 5: Solve for x
    x = 64,851,715,600/119,950
  6. Step 6: Final answer
    x = 540,656.24

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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.