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Finding the Third Proportional to 238,464 and 381,024

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Solution

The third proportional to 238,464 and 381,024 is: 608,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,464 : 381,024 = 381,024 : x
  2. Step 2: Convert to fraction form
    238,464/381,024 = 381,024/x
  3. Step 3: Cross multiply
    238,464x = 381,024 × 381,024
  4. Step 4: Simplify right side
    238,464x = 145,179,288,576
  5. Step 5: Solve for x
    x = 145,179,288,576/238,464
  6. Step 6: Final answer
    x = 608,810.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.