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Finding the Third Proportional to 147,298 and 230,425

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Solution

The third proportional to 147,298 and 230,425 is: 360,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,298 : 230,425 = 230,425 : x
  2. Step 2: Convert to fraction form
    147,298/230,425 = 230,425/x
  3. Step 3: Cross multiply
    147,298x = 230,425 × 230,425
  4. Step 4: Simplify right side
    147,298x = 53,095,680,625
  5. Step 5: Solve for x
    x = 53,095,680,625/147,298
  6. Step 6: Final answer
    x = 360,464.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.