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Finding the Third Proportional to 265,362.75 and 353,544.75

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Solution

The third proportional to 265,362.75 and 353,544.75 is: 471,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,362.75 : 353,544.75 = 353,544.75 : x
  2. Step 2: Convert to fraction form
    265,362.75/353,544.75 = 353,544.75/x
  3. Step 3: Cross multiply
    265,362.75x = 353,544.75 × 353,544.75
  4. Step 4: Simplify right side
    265,362.75x = 124,993,890,252.56
  5. Step 5: Solve for x
    x = 124,993,890,252.56/265,362.75
  6. Step 6: Final answer
    x = 471,030.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.