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Finding the Third Proportional to 154,492.50 and 206,922.75

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Solution

The third proportional to 154,492.50 and 206,922.75 is: 277,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.50 : 206,922.75 = 206,922.75 : x
  2. Step 2: Convert to fraction form
    154,492.50/206,922.75 = 206,922.75/x
  3. Step 3: Cross multiply
    154,492.50x = 206,922.75 × 206,922.75
  4. Step 4: Simplify right side
    154,492.50x = 42,817,024,467.56
  5. Step 5: Solve for x
    x = 42,817,024,467.56/154,492.50
  6. Step 6: Final answer
    x = 277,146.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.