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Finding the Third Proportional to 154,473 and 246,697.50

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Solution

The third proportional to 154,473 and 246,697.50 is: 393,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,473 : 246,697.50 = 246,697.50 : x
  2. Step 2: Convert to fraction form
    154,473/246,697.50 = 246,697.50/x
  3. Step 3: Cross multiply
    154,473x = 246,697.50 × 246,697.50
  4. Step 4: Simplify right side
    154,473x = 60,859,656,506.25
  5. Step 5: Solve for x
    x = 60,859,656,506.25/154,473
  6. Step 6: Final answer
    x = 393,982.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.