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Finding the Third Proportional to 168,240.94 and 258,597

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Solution

The third proportional to 168,240.94 and 258,597 is: 397,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,240.94 : 258,597 = 258,597 : x
  2. Step 2: Convert to fraction form
    168,240.94/258,597 = 258,597/x
  3. Step 3: Cross multiply
    168,240.94x = 258,597 × 258,597
  4. Step 4: Simplify right side
    168,240.94x = 66,872,408,409
  5. Step 5: Solve for x
    x = 66,872,408,409/168,240.94
  6. Step 6: Final answer
    x = 397,480.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.