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Finding the Third Proportional to 167,115 and 345,300

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Solution

The third proportional to 167,115 and 345,300 is: 713,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,115 : 345,300 = 345,300 : x
  2. Step 2: Convert to fraction form
    167,115/345,300 = 345,300/x
  3. Step 3: Cross multiply
    167,115x = 345,300 × 345,300
  4. Step 4: Simplify right side
    167,115x = 119,232,090,000
  5. Step 5: Solve for x
    x = 119,232,090,000/167,115
  6. Step 6: Final answer
    x = 713,473.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.