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Finding the Third Proportional to 114,464.25 and 245,536.31

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Solution

The third proportional to 114,464.25 and 245,536.31 is: 526,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.25 : 245,536.31 = 245,536.31 : x
  2. Step 2: Convert to fraction form
    114,464.25/245,536.31 = 245,536.31/x
  3. Step 3: Cross multiply
    114,464.25x = 245,536.31 × 245,536.31
  4. Step 4: Simplify right side
    114,464.25x = 60,288,080,756.10
  5. Step 5: Solve for x
    x = 60,288,080,756.10/114,464.25
  6. Step 6: Final answer
    x = 526,697.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.