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Finding the Third Proportional to 158,648 and 357,245

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Solution

The third proportional to 158,648 and 357,245 is: 804,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,648 : 357,245 = 357,245 : x
  2. Step 2: Convert to fraction form
    158,648/357,245 = 357,245/x
  3. Step 3: Cross multiply
    158,648x = 357,245 × 357,245
  4. Step 4: Simplify right side
    158,648x = 127,623,990,025
  5. Step 5: Solve for x
    x = 127,623,990,025/158,648
  6. Step 6: Final answer
    x = 804,447.52

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.