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Finding the Third Proportional to 167,014 and 350,437

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Solution

The third proportional to 167,014 and 350,437 is: 735,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,014 : 350,437 = 350,437 : x
  2. Step 2: Convert to fraction form
    167,014/350,437 = 350,437/x
  3. Step 3: Cross multiply
    167,014x = 350,437 × 350,437
  4. Step 4: Simplify right side
    167,014x = 122,806,090,969
  5. Step 5: Solve for x
    x = 122,806,090,969/167,014
  6. Step 6: Final answer
    x = 735,304.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.