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Finding the Third Proportional to 146,214 and 314,185

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Solution

The third proportional to 146,214 and 314,185 is: 675,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,214 : 314,185 = 314,185 : x
  2. Step 2: Convert to fraction form
    146,214/314,185 = 314,185/x
  3. Step 3: Cross multiply
    146,214x = 314,185 × 314,185
  4. Step 4: Simplify right side
    146,214x = 98,712,214,225
  5. Step 5: Solve for x
    x = 98,712,214,225/146,214
  6. Step 6: Final answer
    x = 675,121.49

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Why These Related Problems?

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