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Finding the Third Proportional to 227,116 and 346,182

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Solution

The third proportional to 227,116 and 346,182 is: 527,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,116 : 346,182 = 346,182 : x
  2. Step 2: Convert to fraction form
    227,116/346,182 = 346,182/x
  3. Step 3: Cross multiply
    227,116x = 346,182 × 346,182
  4. Step 4: Simplify right side
    227,116x = 119,841,977,124
  5. Step 5: Solve for x
    x = 119,841,977,124/227,116
  6. Step 6: Final answer
    x = 527,668.58

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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.