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Finding the Third Proportional to 119,963 and 254,685

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Solution

The third proportional to 119,963 and 254,685 is: 540,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,963 : 254,685 = 254,685 : x
  2. Step 2: Convert to fraction form
    119,963/254,685 = 254,685/x
  3. Step 3: Cross multiply
    119,963x = 254,685 × 254,685
  4. Step 4: Simplify right side
    119,963x = 64,864,449,225
  5. Step 5: Solve for x
    x = 64,864,449,225/119,963
  6. Step 6: Final answer
    x = 540,703.79

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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.