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Finding the Third Proportional to 107,115.75 and 233,246.25

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Solution

The third proportional to 107,115.75 and 233,246.25 is: 507,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,115.75 : 233,246.25 = 233,246.25 : x
  2. Step 2: Convert to fraction form
    107,115.75/233,246.25 = 233,246.25/x
  3. Step 3: Cross multiply
    107,115.75x = 233,246.25 × 233,246.25
  4. Step 4: Simplify right side
    107,115.75x = 54,403,813,139.06
  5. Step 5: Solve for x
    x = 54,403,813,139.06/107,115.75
  6. Step 6: Final answer
    x = 507,897.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.