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Finding the Third Proportional to 177,111.56 and 382,203.56

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Solution

The third proportional to 177,111.56 and 382,203.56 is: 824,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,111.56 : 382,203.56 = 382,203.56 : x
  2. Step 2: Convert to fraction form
    177,111.56/382,203.56 = 382,203.56/x
  3. Step 3: Cross multiply
    177,111.56x = 382,203.56 × 382,203.56
  4. Step 4: Simplify right side
    177,111.56x = 146,079,563,187.69
  5. Step 5: Solve for x
    x = 146,079,563,187.69/177,111.56
  6. Step 6: Final answer
    x = 824,788.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.