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Finding the Third Proportional to 169,984 and 250,054

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Solution

The third proportional to 169,984 and 250,054 is: 367,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,984 : 250,054 = 250,054 : x
  2. Step 2: Convert to fraction form
    169,984/250,054 = 250,054/x
  3. Step 3: Cross multiply
    169,984x = 250,054 × 250,054
  4. Step 4: Simplify right side
    169,984x = 62,527,002,916
  5. Step 5: Solve for x
    x = 62,527,002,916/169,984
  6. Step 6: Final answer
    x = 367,840.52

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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.