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Finding the Third Proportional to 193,280 and 392,024

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Solution

The third proportional to 193,280 and 392,024 is: 795,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,280 : 392,024 = 392,024 : x
  2. Step 2: Convert to fraction form
    193,280/392,024 = 392,024/x
  3. Step 3: Cross multiply
    193,280x = 392,024 × 392,024
  4. Step 4: Simplify right side
    193,280x = 153,682,816,576
  5. Step 5: Solve for x
    x = 153,682,816,576/193,280
  6. Step 6: Final answer
    x = 795,130.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.