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Finding the Third Proportional to 169,276.50 and 257,238

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Solution

The third proportional to 169,276.50 and 257,238 is: 390,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,276.50 : 257,238 = 257,238 : x
  2. Step 2: Convert to fraction form
    169,276.50/257,238 = 257,238/x
  3. Step 3: Cross multiply
    169,276.50x = 257,238 × 257,238
  4. Step 4: Simplify right side
    169,276.50x = 66,171,388,644
  5. Step 5: Solve for x
    x = 66,171,388,644/169,276.50
  6. Step 6: Final answer
    x = 390,907.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.