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Finding the Third Proportional to 119,964 and 254,687

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Solution

The third proportional to 119,964 and 254,687 is: 540,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,964 : 254,687 = 254,687 : x
  2. Step 2: Convert to fraction form
    119,964/254,687 = 254,687/x
  3. Step 3: Cross multiply
    119,964x = 254,687 × 254,687
  4. Step 4: Simplify right side
    119,964x = 64,865,467,969
  5. Step 5: Solve for x
    x = 64,865,467,969/119,964
  6. Step 6: Final answer
    x = 540,707.78

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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.