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Finding the Third Proportional to 238,710 and 334,629

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Solution

The third proportional to 238,710 and 334,629 is: 469,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,710 : 334,629 = 334,629 : x
  2. Step 2: Convert to fraction form
    238,710/334,629 = 334,629/x
  3. Step 3: Cross multiply
    238,710x = 334,629 × 334,629
  4. Step 4: Simplify right side
    238,710x = 111,976,567,641
  5. Step 5: Solve for x
    x = 111,976,567,641/238,710
  6. Step 6: Final answer
    x = 469,090.39

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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.