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Finding the Third Proportional to 116,696 and 254,509

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Solution

The third proportional to 116,696 and 254,509 is: 555,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,696 : 254,509 = 254,509 : x
  2. Step 2: Convert to fraction form
    116,696/254,509 = 254,509/x
  3. Step 3: Cross multiply
    116,696x = 254,509 × 254,509
  4. Step 4: Simplify right side
    116,696x = 64,774,831,081
  5. Step 5: Solve for x
    x = 64,774,831,081/116,696
  6. Step 6: Final answer
    x = 555,073.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.