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Finding the Third Proportional to 169,418.16 and 248,468.72

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Solution

The third proportional to 169,418.16 and 248,468.72 is: 364,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,418.16 : 248,468.72 = 248,468.72 : x
  2. Step 2: Convert to fraction form
    169,418.16/248,468.72 = 248,468.72/x
  3. Step 3: Cross multiply
    169,418.16x = 248,468.72 × 248,468.72
  4. Step 4: Simplify right side
    169,418.16x = 61,736,704,197.27
  5. Step 5: Solve for x
    x = 61,736,704,197.27/169,418.16
  6. Step 6: Final answer
    x = 364,404.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.