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Finding the Third Proportional to 163,014 and 345,654

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Solution

The third proportional to 163,014 and 345,654 is: 732,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,014 : 345,654 = 345,654 : x
  2. Step 2: Convert to fraction form
    163,014/345,654 = 345,654/x
  3. Step 3: Cross multiply
    163,014x = 345,654 × 345,654
  4. Step 4: Simplify right side
    163,014x = 119,476,687,716
  5. Step 5: Solve for x
    x = 119,476,687,716/163,014
  6. Step 6: Final answer
    x = 732,922.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.