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Finding the Third Proportional to 116,484 and 252,009

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Solution

The third proportional to 116,484 and 252,009 is: 545,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,484 : 252,009 = 252,009 : x
  2. Step 2: Convert to fraction form
    116,484/252,009 = 252,009/x
  3. Step 3: Cross multiply
    116,484x = 252,009 × 252,009
  4. Step 4: Simplify right side
    116,484x = 63,508,536,081
  5. Step 5: Solve for x
    x = 63,508,536,081/116,484
  6. Step 6: Final answer
    x = 545,212.53

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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.