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Finding the Third Proportional to 260,322.75 and 393,257.25

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Solution

The third proportional to 260,322.75 and 393,257.25 is: 594,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,322.75 : 393,257.25 = 393,257.25 : x
  2. Step 2: Convert to fraction form
    260,322.75/393,257.25 = 393,257.25/x
  3. Step 3: Cross multiply
    260,322.75x = 393,257.25 × 393,257.25
  4. Step 4: Simplify right side
    260,322.75x = 154,651,264,677.56
  5. Step 5: Solve for x
    x = 154,651,264,677.56/260,322.75
  6. Step 6: Final answer
    x = 594,075.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.