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Finding the Third Proportional to 107,588.25 and 229,817.25

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Solution

The third proportional to 107,588.25 and 229,817.25 is: 490,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,588.25 : 229,817.25 = 229,817.25 : x
  2. Step 2: Convert to fraction form
    107,588.25/229,817.25 = 229,817.25/x
  3. Step 3: Cross multiply
    107,588.25x = 229,817.25 × 229,817.25
  4. Step 4: Simplify right side
    107,588.25x = 52,815,968,397.56
  5. Step 5: Solve for x
    x = 52,815,968,397.56/107,588.25
  6. Step 6: Final answer
    x = 490,908.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.