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Finding the Third Proportional to 102,221.50 and 238,771.50

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Solution

The third proportional to 102,221.50 and 238,771.50 is: 557,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,221.50 : 238,771.50 = 238,771.50 : x
  2. Step 2: Convert to fraction form
    102,221.50/238,771.50 = 238,771.50/x
  3. Step 3: Cross multiply
    102,221.50x = 238,771.50 × 238,771.50
  4. Step 4: Simplify right side
    102,221.50x = 57,011,829,212.25
  5. Step 5: Solve for x
    x = 57,011,829,212.25/102,221.50
  6. Step 6: Final answer
    x = 557,728.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.