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Finding the Third Proportional to 238,011 and 343,912.50

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Solution

The third proportional to 238,011 and 343,912.50 is: 496,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,011 : 343,912.50 = 343,912.50 : x
  2. Step 2: Convert to fraction form
    238,011/343,912.50 = 343,912.50/x
  3. Step 3: Cross multiply
    238,011x = 343,912.50 × 343,912.50
  4. Step 4: Simplify right side
    238,011x = 118,275,807,656.25
  5. Step 5: Solve for x
    x = 118,275,807,656.25/238,011
  6. Step 6: Final answer
    x = 496,934.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.