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Finding the Third Proportional to 146,639 and 321,304

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Solution

The third proportional to 146,639 and 321,304 is: 704,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,639 : 321,304 = 321,304 : x
  2. Step 2: Convert to fraction form
    146,639/321,304 = 321,304/x
  3. Step 3: Cross multiply
    146,639x = 321,304 × 321,304
  4. Step 4: Simplify right side
    146,639x = 103,236,260,416
  5. Step 5: Solve for x
    x = 103,236,260,416/146,639
  6. Step 6: Final answer
    x = 704,016.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.