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Finding the Third Proportional to 157,753.50 and 342,126

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Solution

The third proportional to 157,753.50 and 342,126 is: 741,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,753.50 : 342,126 = 342,126 : x
  2. Step 2: Convert to fraction form
    157,753.50/342,126 = 342,126/x
  3. Step 3: Cross multiply
    157,753.50x = 342,126 × 342,126
  4. Step 4: Simplify right side
    157,753.50x = 117,050,199,876
  5. Step 5: Solve for x
    x = 117,050,199,876/157,753.50
  6. Step 6: Final answer
    x = 741,981.64

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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.