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Finding the Third Proportional to 119,752 and 255,766

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Solution

The third proportional to 119,752 and 255,766 is: 546,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,752 : 255,766 = 255,766 : x
  2. Step 2: Convert to fraction form
    119,752/255,766 = 255,766/x
  3. Step 3: Cross multiply
    119,752x = 255,766 × 255,766
  4. Step 4: Simplify right side
    119,752x = 65,416,246,756
  5. Step 5: Solve for x
    x = 65,416,246,756/119,752
  6. Step 6: Final answer
    x = 546,264.34

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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.