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Finding the Third Proportional to 154,445.50 and 246,656.50

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Solution

The third proportional to 154,445.50 and 246,656.50 is: 393,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,445.50 : 246,656.50 = 246,656.50 : x
  2. Step 2: Convert to fraction form
    154,445.50/246,656.50 = 246,656.50/x
  3. Step 3: Cross multiply
    154,445.50x = 246,656.50 × 246,656.50
  4. Step 4: Simplify right side
    154,445.50x = 60,839,428,992.25
  5. Step 5: Solve for x
    x = 60,839,428,992.25/154,445.50
  6. Step 6: Final answer
    x = 393,921.67

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Why These Related Problems?

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