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Finding the Third Proportional to 149,814 and 227,786

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Solution

The third proportional to 149,814 and 227,786 is: 346,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,814 : 227,786 = 227,786 : x
  2. Step 2: Convert to fraction form
    149,814/227,786 = 227,786/x
  3. Step 3: Cross multiply
    149,814x = 227,786 × 227,786
  4. Step 4: Simplify right side
    149,814x = 51,886,461,796
  5. Step 5: Solve for x
    x = 51,886,461,796/149,814
  6. Step 6: Final answer
    x = 346,339.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.