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Finding the Third Proportional to 230,431.50 and 335,515.50

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Solution

The third proportional to 230,431.50 and 335,515.50 is: 488,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,431.50 : 335,515.50 = 335,515.50 : x
  2. Step 2: Convert to fraction form
    230,431.50/335,515.50 = 335,515.50/x
  3. Step 3: Cross multiply
    230,431.50x = 335,515.50 × 335,515.50
  4. Step 4: Simplify right side
    230,431.50x = 112,570,650,740.25
  5. Step 5: Solve for x
    x = 112,570,650,740.25/230,431.50
  6. Step 6: Final answer
    x = 488,521.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.