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Finding the Third Proportional to 225,623 and 338,478

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Solution

The third proportional to 225,623 and 338,478 is: 507,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,623 : 338,478 = 338,478 : x
  2. Step 2: Convert to fraction form
    225,623/338,478 = 338,478/x
  3. Step 3: Cross multiply
    225,623x = 338,478 × 338,478
  4. Step 4: Simplify right side
    225,623x = 114,567,356,484
  5. Step 5: Solve for x
    x = 114,567,356,484/225,623
  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.