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Finding the Third Proportional to 211,933.13 and 297,023.63

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Solution

The third proportional to 211,933.13 and 297,023.63 is: 416,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,933.13 : 297,023.63 = 297,023.63 : x
  2. Step 2: Convert to fraction form
    211,933.13/297,023.63 = 297,023.63/x
  3. Step 3: Cross multiply
    211,933.13x = 297,023.63 × 297,023.63
  4. Step 4: Simplify right side
    211,933.13x = 88,223,033,808.14
  5. Step 5: Solve for x
    x = 88,223,033,808.14/211,933.13
  6. Step 6: Final answer
    x = 416,277.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.