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Finding the Third Proportional to 238,777.50 and 361,240.50

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Solution

The third proportional to 238,777.50 and 361,240.50 is: 546,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,777.50 : 361,240.50 = 361,240.50 : x
  2. Step 2: Convert to fraction form
    238,777.50/361,240.50 = 361,240.50/x
  3. Step 3: Cross multiply
    238,777.50x = 361,240.50 × 361,240.50
  4. Step 4: Simplify right side
    238,777.50x = 130,494,698,840.25
  5. Step 5: Solve for x
    x = 130,494,698,840.25/238,777.50
  6. Step 6: Final answer
    x = 546,511.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.