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Finding the Third Proportional to 168,202 and 253,006

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Solution

The third proportional to 168,202 and 253,006 is: 380,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,202 : 253,006 = 253,006 : x
  2. Step 2: Convert to fraction form
    168,202/253,006 = 253,006/x
  3. Step 3: Cross multiply
    168,202x = 253,006 × 253,006
  4. Step 4: Simplify right side
    168,202x = 64,012,036,036
  5. Step 5: Solve for x
    x = 64,012,036,036/168,202
  6. Step 6: Final answer
    x = 380,566.44

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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.