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Finding the Third Proportional to 149,492.50 and 231,711

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Solution

The third proportional to 149,492.50 and 231,711 is: 359,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,492.50 : 231,711 = 231,711 : x
  2. Step 2: Convert to fraction form
    149,492.50/231,711 = 231,711/x
  3. Step 3: Cross multiply
    149,492.50x = 231,711 × 231,711
  4. Step 4: Simplify right side
    149,492.50x = 53,689,987,521
  5. Step 5: Solve for x
    x = 53,689,987,521/149,492.50
  6. Step 6: Final answer
    x = 359,148.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.