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Finding the Third Proportional to 238,152 and 332,972

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Solution

The third proportional to 238,152 and 332,972 is: 465,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,152 : 332,972 = 332,972 : x
  2. Step 2: Convert to fraction form
    238,152/332,972 = 332,972/x
  3. Step 3: Cross multiply
    238,152x = 332,972 × 332,972
  4. Step 4: Simplify right side
    238,152x = 110,870,352,784
  5. Step 5: Solve for x
    x = 110,870,352,784/238,152
  6. Step 6: Final answer
    x = 465,544.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.