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Finding the Third Proportional to 232,648 and 368,988

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Solution

The third proportional to 232,648 and 368,988 is: 585,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,648 : 368,988 = 368,988 : x
  2. Step 2: Convert to fraction form
    232,648/368,988 = 368,988/x
  3. Step 3: Cross multiply
    232,648x = 368,988 × 368,988
  4. Step 4: Simplify right side
    232,648x = 136,152,144,144
  5. Step 5: Solve for x
    x = 136,152,144,144/232,648
  6. Step 6: Final answer
    x = 585,228.09

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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.