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Finding the Third Proportional to 230,132 and 310,926

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Solution

The third proportional to 230,132 and 310,926 is: 420,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,132 : 310,926 = 310,926 : x
  2. Step 2: Convert to fraction form
    230,132/310,926 = 310,926/x
  3. Step 3: Cross multiply
    230,132x = 310,926 × 310,926
  4. Step 4: Simplify right side
    230,132x = 96,674,977,476
  5. Step 5: Solve for x
    x = 96,674,977,476/230,132
  6. Step 6: Final answer
    x = 420,084.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.