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Finding the Third Proportional to 146,946 and 306,606

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Solution

The third proportional to 146,946 and 306,606 is: 639,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,946 : 306,606 = 306,606 : x
  2. Step 2: Convert to fraction form
    146,946/306,606 = 306,606/x
  3. Step 3: Cross multiply
    146,946x = 306,606 × 306,606
  4. Step 4: Simplify right side
    146,946x = 94,007,239,236
  5. Step 5: Solve for x
    x = 94,007,239,236/146,946
  6. Step 6: Final answer
    x = 639,740.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.