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Finding the Third Proportional to 119,746 and 255,755

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Solution

The third proportional to 119,746 and 255,755 is: 546,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,746 : 255,755 = 255,755 : x
  2. Step 2: Convert to fraction form
    119,746/255,755 = 255,755/x
  3. Step 3: Cross multiply
    119,746x = 255,755 × 255,755
  4. Step 4: Simplify right side
    119,746x = 65,410,620,025
  5. Step 5: Solve for x
    x = 65,410,620,025/119,746
  6. Step 6: Final answer
    x = 546,244.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.