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Finding the Third Proportional to 116,627 and 254,356

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Solution

The third proportional to 116,627 and 254,356 is: 554,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,627 : 254,356 = 254,356 : x
  2. Step 2: Convert to fraction form
    116,627/254,356 = 254,356/x
  3. Step 3: Cross multiply
    116,627x = 254,356 × 254,356
  4. Step 4: Simplify right side
    116,627x = 64,696,974,736
  5. Step 5: Solve for x
    x = 64,696,974,736/116,627
  6. Step 6: Final answer
    x = 554,734.11

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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.