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Finding the Third Proportional to 117,796 and 255,392

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Solution

The third proportional to 117,796 and 255,392 is: 553,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,796 : 255,392 = 255,392 : x
  2. Step 2: Convert to fraction form
    117,796/255,392 = 255,392/x
  3. Step 3: Cross multiply
    117,796x = 255,392 × 255,392
  4. Step 4: Simplify right side
    117,796x = 65,225,073,664
  5. Step 5: Solve for x
    x = 65,225,073,664/117,796
  6. Step 6: Final answer
    x = 553,712.13

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Why These Related Problems?

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