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Finding the Third Proportional to 76,326 and 164,316

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Solution

The third proportional to 76,326 and 164,316 is: 353,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,326 : 164,316 = 164,316 : x
  2. Step 2: Convert to fraction form
    76,326/164,316 = 164,316/x
  3. Step 3: Cross multiply
    76,326x = 164,316 × 164,316
  4. Step 4: Simplify right side
    76,326x = 26,999,747,856
  5. Step 5: Solve for x
    x = 26,999,747,856/76,326
  6. Step 6: Final answer
    x = 353,742.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.