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Finding the Third Proportional to 168,203 and 253,006.50

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Solution

The third proportional to 168,203 and 253,006.50 is: 380,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,203 : 253,006.50 = 253,006.50 : x
  2. Step 2: Convert to fraction form
    168,203/253,006.50 = 253,006.50/x
  3. Step 3: Cross multiply
    168,203x = 253,006.50 × 253,006.50
  4. Step 4: Simplify right side
    168,203x = 64,012,289,042.25
  5. Step 5: Solve for x
    x = 64,012,289,042.25/168,203
  6. Step 6: Final answer
    x = 380,565.68

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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.