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Finding the Third Proportional to 157,907.25 and 222,394.50

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Solution

The third proportional to 157,907.25 and 222,394.50 is: 313,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,907.25 : 222,394.50 = 222,394.50 : x
  2. Step 2: Convert to fraction form
    157,907.25/222,394.50 = 222,394.50/x
  3. Step 3: Cross multiply
    157,907.25x = 222,394.50 × 222,394.50
  4. Step 4: Simplify right side
    157,907.25x = 49,459,313,630.25
  5. Step 5: Solve for x
    x = 49,459,313,630.25/157,907.25
  6. Step 6: Final answer
    x = 313,217.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.