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Finding the Third Proportional to 178,464 and 388,024

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Solution

The third proportional to 178,464 and 388,024 is: 843,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464 : 388,024 = 388,024 : x
  2. Step 2: Convert to fraction form
    178,464/388,024 = 388,024/x
  3. Step 3: Cross multiply
    178,464x = 388,024 × 388,024
  4. Step 4: Simplify right side
    178,464x = 150,562,624,576
  5. Step 5: Solve for x
    x = 150,562,624,576/178,464
  6. Step 6: Final answer
    x = 843,658.24

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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.