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Finding the Third Proportional to 238,513.50 and 329,703.75

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Solution

The third proportional to 238,513.50 and 329,703.75 is: 455,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,513.50 : 329,703.75 = 329,703.75 : x
  2. Step 2: Convert to fraction form
    238,513.50/329,703.75 = 329,703.75/x
  3. Step 3: Cross multiply
    238,513.50x = 329,703.75 × 329,703.75
  4. Step 4: Simplify right side
    238,513.50x = 108,704,562,764.06
  5. Step 5: Solve for x
    x = 108,704,562,764.06/238,513.50
  6. Step 6: Final answer
    x = 455,758.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.