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Finding the Third Proportional to 119,362 and 167,323

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Solution

The third proportional to 119,362 and 167,323 is: 234,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,362 : 167,323 = 167,323 : x
  2. Step 2: Convert to fraction form
    119,362/167,323 = 167,323/x
  3. Step 3: Cross multiply
    119,362x = 167,323 × 167,323
  4. Step 4: Simplify right side
    119,362x = 27,996,986,329
  5. Step 5: Solve for x
    x = 27,996,986,329/119,362
  6. Step 6: Final answer
    x = 234,555.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.