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Finding the Third Proportional to 116,221.50 and 254,552.63

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Solution

The third proportional to 116,221.50 and 254,552.63 is: 557,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,221.50 : 254,552.63 = 254,552.63 : x
  2. Step 2: Convert to fraction form
    116,221.50/254,552.63 = 254,552.63/x
  3. Step 3: Cross multiply
    116,221.50x = 254,552.63 × 254,552.63
  4. Step 4: Simplify right side
    116,221.50x = 64,797,038,894.39
  5. Step 5: Solve for x
    x = 64,797,038,894.39/116,221.50
  6. Step 6: Final answer
    x = 557,530.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.