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Finding the Third Proportional to 145,304 and 218,101

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Solution

The third proportional to 145,304 and 218,101 is: 327,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,304 : 218,101 = 218,101 : x
  2. Step 2: Convert to fraction form
    145,304/218,101 = 218,101/x
  3. Step 3: Cross multiply
    145,304x = 218,101 × 218,101
  4. Step 4: Simplify right side
    145,304x = 47,568,046,201
  5. Step 5: Solve for x
    x = 47,568,046,201/145,304
  6. Step 6: Final answer
    x = 327,369.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.