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Finding the Third Proportional to 102,686.75 and 224,698.25

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Solution

The third proportional to 102,686.75 and 224,698.25 is: 491,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.75 : 224,698.25 = 224,698.25 : x
  2. Step 2: Convert to fraction form
    102,686.75/224,698.25 = 224,698.25/x
  3. Step 3: Cross multiply
    102,686.75x = 224,698.25 × 224,698.25
  4. Step 4: Simplify right side
    102,686.75x = 50,489,303,553.06
  5. Step 5: Solve for x
    x = 50,489,303,553.06/102,686.75
  6. Step 6: Final answer
    x = 491,682.75

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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.