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Finding the Third Proportional to 114,097.13 and 254,429.25

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Solution

The third proportional to 114,097.13 and 254,429.25 is: 567,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,097.13 : 254,429.25 = 254,429.25 : x
  2. Step 2: Convert to fraction form
    114,097.13/254,429.25 = 254,429.25/x
  3. Step 3: Cross multiply
    114,097.13x = 254,429.25 × 254,429.25
  4. Step 4: Simplify right side
    114,097.13x = 64,734,243,255.56
  5. Step 5: Solve for x
    x = 64,734,243,255.56/114,097.13
  6. Step 6: Final answer
    x = 567,360.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.