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Finding the Third Proportional to 107,907 and 235,497

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Solution

The third proportional to 107,907 and 235,497 is: 513,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,907 : 235,497 = 235,497 : x
  2. Step 2: Convert to fraction form
    107,907/235,497 = 235,497/x
  3. Step 3: Cross multiply
    107,907x = 235,497 × 235,497
  4. Step 4: Simplify right side
    107,907x = 55,458,837,009
  5. Step 5: Solve for x
    x = 55,458,837,009/107,907
  6. Step 6: Final answer
    x = 513,950.32

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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.