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Finding the Third Proportional to 116,416 and 251,378

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Solution

The third proportional to 116,416 and 251,378 is: 542,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416 : 251,378 = 251,378 : x
  2. Step 2: Convert to fraction form
    116,416/251,378 = 251,378/x
  3. Step 3: Cross multiply
    116,416x = 251,378 × 251,378
  4. Step 4: Simplify right side
    116,416x = 63,190,898,884
  5. Step 5: Solve for x
    x = 63,190,898,884/116,416
  6. Step 6: Final answer
    x = 542,802.53

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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.