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Finding the Third Proportional to 231,768 and 368,388

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Solution

The third proportional to 231,768 and 368,388 is: 585,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,768 : 368,388 = 368,388 : x
  2. Step 2: Convert to fraction form
    231,768/368,388 = 368,388/x
  3. Step 3: Cross multiply
    231,768x = 368,388 × 368,388
  4. Step 4: Simplify right side
    231,768x = 135,709,718,544
  5. Step 5: Solve for x
    x = 135,709,718,544/231,768
  6. Step 6: Final answer
    x = 585,541.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.