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Finding the Third Proportional to 107,208 and 241,735.50

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Solution

The third proportional to 107,208 and 241,735.50 is: 545,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,208 : 241,735.50 = 241,735.50 : x
  2. Step 2: Convert to fraction form
    107,208/241,735.50 = 241,735.50/x
  3. Step 3: Cross multiply
    107,208x = 241,735.50 × 241,735.50
  4. Step 4: Simplify right side
    107,208x = 58,436,051,960.25
  5. Step 5: Solve for x
    x = 58,436,051,960.25/107,208
  6. Step 6: Final answer
    x = 545,071.75

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.