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Finding the Third Proportional to 269,467.50 and 449,130

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Solution

The third proportional to 269,467.50 and 449,130 is: 748,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,467.50 : 449,130 = 449,130 : x
  2. Step 2: Convert to fraction form
    269,467.50/449,130 = 449,130/x
  3. Step 3: Cross multiply
    269,467.50x = 449,130 × 449,130
  4. Step 4: Simplify right side
    269,467.50x = 201,717,756,900
  5. Step 5: Solve for x
    x = 201,717,756,900/269,467.50
  6. Step 6: Final answer
    x = 748,579.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.