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Finding the Third Proportional to 225,616.50 and 338,473.13

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Solution

The third proportional to 225,616.50 and 338,473.13 is: 507,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,616.50 : 338,473.13 = 338,473.13 : x
  2. Step 2: Convert to fraction form
    225,616.50/338,473.13 = 338,473.13/x
  3. Step 3: Cross multiply
    225,616.50x = 338,473.13 × 338,473.13
  4. Step 4: Simplify right side
    225,616.50x = 114,564,056,347.27
  5. Step 5: Solve for x
    x = 114,564,056,347.27/225,616.50
  6. Step 6: Final answer
    x = 507,782.26

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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.