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Finding the Third Proportional to 168,192 and 252,994.50

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Solution

The third proportional to 168,192 and 252,994.50 is: 380,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,192 : 252,994.50 = 252,994.50 : x
  2. Step 2: Convert to fraction form
    168,192/252,994.50 = 252,994.50/x
  3. Step 3: Cross multiply
    168,192x = 252,994.50 × 252,994.50
  4. Step 4: Simplify right side
    168,192x = 64,006,217,030.25
  5. Step 5: Solve for x
    x = 64,006,217,030.25/168,192
  6. Step 6: Final answer
    x = 380,554.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.