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Finding the Third Proportional to 117,292 and 276,610

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Solution

The third proportional to 117,292 and 276,610 is: 652,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,292 : 276,610 = 276,610 : x
  2. Step 2: Convert to fraction form
    117,292/276,610 = 276,610/x
  3. Step 3: Cross multiply
    117,292x = 276,610 × 276,610
  4. Step 4: Simplify right side
    117,292x = 76,513,092,100
  5. Step 5: Solve for x
    x = 76,513,092,100/117,292
  6. Step 6: Final answer
    x = 652,330.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.