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Finding the Third Proportional to 175,324 and 384,018

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Solution

The third proportional to 175,324 and 384,018 is: 841,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,324 : 384,018 = 384,018 : x
  2. Step 2: Convert to fraction form
    175,324/384,018 = 384,018/x
  3. Step 3: Cross multiply
    175,324x = 384,018 × 384,018
  4. Step 4: Simplify right side
    175,324x = 147,469,824,324
  5. Step 5: Solve for x
    x = 147,469,824,324/175,324
  6. Step 6: Final answer
    x = 841,127.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.