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Finding the Third Proportional to 146,194 and 314,946

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Solution

The third proportional to 146,194 and 314,946 is: 678,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,194 : 314,946 = 314,946 : x
  2. Step 2: Convert to fraction form
    146,194/314,946 = 314,946/x
  3. Step 3: Cross multiply
    146,194x = 314,946 × 314,946
  4. Step 4: Simplify right side
    146,194x = 99,190,982,916
  5. Step 5: Solve for x
    x = 99,190,982,916/146,194
  6. Step 6: Final answer
    x = 678,488.74

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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.