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Finding the Third Proportional to 146,054 and 235,145

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Solution

The third proportional to 146,054 and 235,145 is: 378,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,054 : 235,145 = 235,145 : x
  2. Step 2: Convert to fraction form
    146,054/235,145 = 235,145/x
  3. Step 3: Cross multiply
    146,054x = 235,145 × 235,145
  4. Step 4: Simplify right side
    146,054x = 55,293,171,025
  5. Step 5: Solve for x
    x = 55,293,171,025/146,054
  6. Step 6: Final answer
    x = 378,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.