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Finding the Third Proportional to 103,654 and 214,687

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Solution

The third proportional to 103,654 and 214,687 is: 444,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654 : 214,687 = 214,687 : x
  2. Step 2: Convert to fraction form
    103,654/214,687 = 214,687/x
  3. Step 3: Cross multiply
    103,654x = 214,687 × 214,687
  4. Step 4: Simplify right side
    103,654x = 46,090,507,969
  5. Step 5: Solve for x
    x = 46,090,507,969/103,654
  6. Step 6: Final answer
    x = 444,657.30

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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.