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Finding the Third Proportional to 70,254 and 150,345

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Solution

The third proportional to 70,254 and 150,345 is: 321,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,254 : 150,345 = 150,345 : x
  2. Step 2: Convert to fraction form
    70,254/150,345 = 150,345/x
  3. Step 3: Cross multiply
    70,254x = 150,345 × 150,345
  4. Step 4: Simplify right side
    70,254x = 22,603,619,025
  5. Step 5: Solve for x
    x = 22,603,619,025/70,254
  6. Step 6: Final answer
    x = 321,741.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.