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Finding the Third Proportional to 117,996 and 254,776

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Solution

The third proportional to 117,996 and 254,776 is: 550,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,996 : 254,776 = 254,776 : x
  2. Step 2: Convert to fraction form
    117,996/254,776 = 254,776/x
  3. Step 3: Cross multiply
    117,996x = 254,776 × 254,776
  4. Step 4: Simplify right side
    117,996x = 64,910,810,176
  5. Step 5: Solve for x
    x = 64,910,810,176/117,996
  6. Step 6: Final answer
    x = 550,110.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.