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Finding the Third Proportional to 232,533.75 and 329,127.75

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Solution

The third proportional to 232,533.75 and 329,127.75 is: 465,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,533.75 : 329,127.75 = 329,127.75 : x
  2. Step 2: Convert to fraction form
    232,533.75/329,127.75 = 329,127.75/x
  3. Step 3: Cross multiply
    232,533.75x = 329,127.75 × 329,127.75
  4. Step 4: Simplify right side
    232,533.75x = 108,325,075,820.06
  5. Step 5: Solve for x
    x = 108,325,075,820.06/232,533.75
  6. Step 6: Final answer
    x = 465,846.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.