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Finding the Third Proportional to 258,185.60 and 426,670.03

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Solution

The third proportional to 258,185.60 and 426,670.03 is: 705,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,185.60 : 426,670.03 = 426,670.03 : x
  2. Step 2: Convert to fraction form
    258,185.60/426,670.03 = 426,670.03/x
  3. Step 3: Cross multiply
    258,185.60x = 426,670.03 × 426,670.03
  4. Step 4: Simplify right side
    258,185.60x = 182,047,315,566.88
  5. Step 5: Solve for x
    x = 182,047,315,566.88/258,185.60
  6. Step 6: Final answer
    x = 705,102.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.