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Finding the Third Proportional to 113,548.50 and 234,385.50

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Solution

The third proportional to 113,548.50 and 234,385.50 is: 483,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,548.50 : 234,385.50 = 234,385.50 : x
  2. Step 2: Convert to fraction form
    113,548.50/234,385.50 = 234,385.50/x
  3. Step 3: Cross multiply
    113,548.50x = 234,385.50 × 234,385.50
  4. Step 4: Simplify right side
    113,548.50x = 54,936,562,610.25
  5. Step 5: Solve for x
    x = 54,936,562,610.25/113,548.50
  6. Step 6: Final answer
    x = 483,815.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.