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Finding the Third Proportional to 157,306.88 and 340,857.75

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Solution

The third proportional to 157,306.88 and 340,857.75 is: 738,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,306.88 : 340,857.75 = 340,857.75 : x
  2. Step 2: Convert to fraction form
    157,306.88/340,857.75 = 340,857.75/x
  3. Step 3: Cross multiply
    157,306.88x = 340,857.75 × 340,857.75
  4. Step 4: Simplify right side
    157,306.88x = 116,184,005,735.06
  5. Step 5: Solve for x
    x = 116,184,005,735.06/157,306.88
  6. Step 6: Final answer
    x = 738,581.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.