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Finding the Third Proportional to 225,810 and 338,733

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Solution

The third proportional to 225,810 and 338,733 is: 508,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810 : 338,733 = 338,733 : x
  2. Step 2: Convert to fraction form
    225,810/338,733 = 338,733/x
  3. Step 3: Cross multiply
    225,810x = 338,733 × 338,733
  4. Step 4: Simplify right side
    225,810x = 114,740,045,289
  5. Step 5: Solve for x
    x = 114,740,045,289/225,810
  6. Step 6: Final answer
    x = 508,126.50

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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.