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Finding the Third Proportional to 177,337.69 and 384,728.06

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Solution

The third proportional to 177,337.69 and 384,728.06 is: 834,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,337.69 : 384,728.06 = 384,728.06 : x
  2. Step 2: Convert to fraction form
    177,337.69/384,728.06 = 384,728.06/x
  3. Step 3: Cross multiply
    177,337.69x = 384,728.06 × 384,728.06
  4. Step 4: Simplify right side
    177,337.69x = 148,015,682,075.00
  5. Step 5: Solve for x
    x = 148,015,682,075.00/177,337.69
  6. Step 6: Final answer
    x = 834,654.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.