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Finding the Third Proportional to 252,647.44 and 306,775.69

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Solution

The third proportional to 252,647.44 and 306,775.69 is: 372,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,647.44 : 306,775.69 = 306,775.69 : x
  2. Step 2: Convert to fraction form
    252,647.44/306,775.69 = 306,775.69/x
  3. Step 3: Cross multiply
    252,647.44x = 306,775.69 × 306,775.69
  4. Step 4: Simplify right side
    252,647.44x = 94,111,322,441.10
  5. Step 5: Solve for x
    x = 94,111,322,441.10/252,647.44
  6. Step 6: Final answer
    x = 372,500.60

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.