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Finding the Third Proportional to 211,762.13 and 318,115.69

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Solution

The third proportional to 211,762.13 and 318,115.69 is: 477,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,762.13 : 318,115.69 = 318,115.69 : x
  2. Step 2: Convert to fraction form
    211,762.13/318,115.69 = 318,115.69/x
  3. Step 3: Cross multiply
    211,762.13x = 318,115.69 × 318,115.69
  4. Step 4: Simplify right side
    211,762.13x = 101,197,590,633.60
  5. Step 5: Solve for x
    x = 101,197,590,633.60/211,762.13
  6. Step 6: Final answer
    x = 477,883.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.