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Finding the Third Proportional to 214,431.75 and 301,234.50

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Solution

The third proportional to 214,431.75 and 301,234.50 is: 423,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,431.75 : 301,234.50 = 301,234.50 : x
  2. Step 2: Convert to fraction form
    214,431.75/301,234.50 = 301,234.50/x
  3. Step 3: Cross multiply
    214,431.75x = 301,234.50 × 301,234.50
  4. Step 4: Simplify right side
    214,431.75x = 90,742,223,990.25
  5. Step 5: Solve for x
    x = 90,742,223,990.25/214,431.75
  6. Step 6: Final answer
    x = 423,175.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.