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Finding the Third Proportional to 157,289.25 and 250,185.75

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Solution

The third proportional to 157,289.25 and 250,185.75 is: 397,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,289.25 : 250,185.75 = 250,185.75 : x
  2. Step 2: Convert to fraction form
    157,289.25/250,185.75 = 250,185.75/x
  3. Step 3: Cross multiply
    157,289.25x = 250,185.75 × 250,185.75
  4. Step 4: Simplify right side
    157,289.25x = 62,592,909,503.06
  5. Step 5: Solve for x
    x = 62,592,909,503.06/157,289.25
  6. Step 6: Final answer
    x = 397,947.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.