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Finding the Third Proportional to 117,976 and 255,630

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Solution

The third proportional to 117,976 and 255,630 is: 553,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976 : 255,630 = 255,630 : x
  2. Step 2: Convert to fraction form
    117,976/255,630 = 255,630/x
  3. Step 3: Cross multiply
    117,976x = 255,630 × 255,630
  4. Step 4: Simplify right side
    117,976x = 65,346,696,900
  5. Step 5: Solve for x
    x = 65,346,696,900/117,976
  6. Step 6: Final answer
    x = 553,898.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.