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Finding the Third Proportional to 157,366.50 and 342,667.50

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Solution

The third proportional to 157,366.50 and 342,667.50 is: 746,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,366.50 : 342,667.50 = 342,667.50 : x
  2. Step 2: Convert to fraction form
    157,366.50/342,667.50 = 342,667.50/x
  3. Step 3: Cross multiply
    157,366.50x = 342,667.50 × 342,667.50
  4. Step 4: Simplify right side
    157,366.50x = 117,421,015,556.25
  5. Step 5: Solve for x
    x = 117,421,015,556.25/157,366.50
  6. Step 6: Final answer
    x = 746,162.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.