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Finding the Third Proportional to 230,266 and 306,063

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Solution

The third proportional to 230,266 and 306,063 is: 406,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,266 : 306,063 = 306,063 : x
  2. Step 2: Convert to fraction form
    230,266/306,063 = 306,063/x
  3. Step 3: Cross multiply
    230,266x = 306,063 × 306,063
  4. Step 4: Simplify right side
    230,266x = 93,674,559,969
  5. Step 5: Solve for x
    x = 93,674,559,969/230,266
  6. Step 6: Final answer
    x = 406,810.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.