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Finding the Third Proportional to 230,882 and 360,903

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Solution

The third proportional to 230,882 and 360,903 is: 564,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,882 : 360,903 = 360,903 : x
  2. Step 2: Convert to fraction form
    230,882/360,903 = 360,903/x
  3. Step 3: Cross multiply
    230,882x = 360,903 × 360,903
  4. Step 4: Simplify right side
    230,882x = 130,250,975,409
  5. Step 5: Solve for x
    x = 130,250,975,409/230,882
  6. Step 6: Final answer
    x = 564,145.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.