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Finding the Third Proportional to 145,821 and 225,195

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Solution

The third proportional to 145,821 and 225,195 is: 347,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,821 : 225,195 = 225,195 : x
  2. Step 2: Convert to fraction form
    145,821/225,195 = 225,195/x
  3. Step 3: Cross multiply
    145,821x = 225,195 × 225,195
  4. Step 4: Simplify right side
    145,821x = 50,712,788,025
  5. Step 5: Solve for x
    x = 50,712,788,025/145,821
  6. Step 6: Final answer
    x = 347,774.24

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