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Finding the Third Proportional to 157,923 and 341,131.50

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Solution

The third proportional to 157,923 and 341,131.50 is: 736,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,923 : 341,131.50 = 341,131.50 : x
  2. Step 2: Convert to fraction form
    157,923/341,131.50 = 341,131.50/x
  3. Step 3: Cross multiply
    157,923x = 341,131.50 × 341,131.50
  4. Step 4: Simplify right side
    157,923x = 116,370,700,292.25
  5. Step 5: Solve for x
    x = 116,370,700,292.25/157,923
  6. Step 6: Final answer
    x = 736,882.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.