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Finding the Third Proportional to 146,206 and 314,168

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Solution

The third proportional to 146,206 and 314,168 is: 675,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,206 : 314,168 = 314,168 : x
  2. Step 2: Convert to fraction form
    146,206/314,168 = 314,168/x
  3. Step 3: Cross multiply
    146,206x = 314,168 × 314,168
  4. Step 4: Simplify right side
    146,206x = 98,701,532,224
  5. Step 5: Solve for x
    x = 98,701,532,224/146,206
  6. Step 6: Final answer
    x = 675,085.37

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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.