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Finding the Third Proportional to 205,858.13 and 297,303.75

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Solution

The third proportional to 205,858.13 and 297,303.75 is: 429,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,858.13 : 297,303.75 = 297,303.75 : x
  2. Step 2: Convert to fraction form
    205,858.13/297,303.75 = 297,303.75/x
  3. Step 3: Cross multiply
    205,858.13x = 297,303.75 × 297,303.75
  4. Step 4: Simplify right side
    205,858.13x = 88,389,519,764.06
  5. Step 5: Solve for x
    x = 88,389,519,764.06/205,858.13
  6. Step 6: Final answer
    x = 429,371.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.