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Finding the Third Proportional to 102,220.50 and 238,769

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Solution

The third proportional to 102,220.50 and 238,769 is: 557,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,220.50 : 238,769 = 238,769 : x
  2. Step 2: Convert to fraction form
    102,220.50/238,769 = 238,769/x
  3. Step 3: Cross multiply
    102,220.50x = 238,769 × 238,769
  4. Step 4: Simplify right side
    102,220.50x = 57,010,635,361
  5. Step 5: Solve for x
    x = 57,010,635,361/102,220.50
  6. Step 6: Final answer
    x = 557,722.13

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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.