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Finding the Third Proportional to 158,857.50 and 340,749

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Solution

The third proportional to 158,857.50 and 340,749 is: 730,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,857.50 : 340,749 = 340,749 : x
  2. Step 2: Convert to fraction form
    158,857.50/340,749 = 340,749/x
  3. Step 3: Cross multiply
    158,857.50x = 340,749 × 340,749
  4. Step 4: Simplify right side
    158,857.50x = 116,109,881,001
  5. Step 5: Solve for x
    x = 116,109,881,001/158,857.50
  6. Step 6: Final answer
    x = 730,905.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.