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Finding the Third Proportional to 223,714.50 and 338,829.75

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Solution

The third proportional to 223,714.50 and 338,829.75 is: 513,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,714.50 : 338,829.75 = 338,829.75 : x
  2. Step 2: Convert to fraction form
    223,714.50/338,829.75 = 338,829.75/x
  3. Step 3: Cross multiply
    223,714.50x = 338,829.75 × 338,829.75
  4. Step 4: Simplify right side
    223,714.50x = 114,805,599,485.06
  5. Step 5: Solve for x
    x = 114,805,599,485.06/223,714.50
  6. Step 6: Final answer
    x = 513,179.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.