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Finding the Third Proportional to 147,451 and 222,395

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Solution

The third proportional to 147,451 and 222,395 is: 335,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,451 : 222,395 = 222,395 : x
  2. Step 2: Convert to fraction form
    147,451/222,395 = 222,395/x
  3. Step 3: Cross multiply
    147,451x = 222,395 × 222,395
  4. Step 4: Simplify right side
    147,451x = 49,459,536,025
  5. Step 5: Solve for x
    x = 49,459,536,025/147,451
  6. Step 6: Final answer
    x = 335,430.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.