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Finding the Third Proportional to 238,285.50 and 335,809.50

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Solution

The third proportional to 238,285.50 and 335,809.50 is: 473,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,285.50 : 335,809.50 = 335,809.50 : x
  2. Step 2: Convert to fraction form
    238,285.50/335,809.50 = 335,809.50/x
  3. Step 3: Cross multiply
    238,285.50x = 335,809.50 × 335,809.50
  4. Step 4: Simplify right side
    238,285.50x = 112,768,020,290.25
  5. Step 5: Solve for x
    x = 112,768,020,290.25/238,285.50
  6. Step 6: Final answer
    x = 473,247.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.