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Finding the Third Proportional to 223,053.75 and 359,067.94

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Solution

The third proportional to 223,053.75 and 359,067.94 is: 578,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,053.75 : 359,067.94 = 359,067.94 : x
  2. Step 2: Convert to fraction form
    223,053.75/359,067.94 = 359,067.94/x
  3. Step 3: Cross multiply
    223,053.75x = 359,067.94 × 359,067.94
  4. Step 4: Simplify right side
    223,053.75x = 128,929,783,740.50
  5. Step 5: Solve for x
    x = 128,929,783,740.50/223,053.75
  6. Step 6: Final answer
    x = 578,021.14

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.