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Finding the Third Proportional to 238,702 and 334,614

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Solution

The third proportional to 238,702 and 334,614 is: 469,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,702 : 334,614 = 334,614 : x
  2. Step 2: Convert to fraction form
    238,702/334,614 = 334,614/x
  3. Step 3: Cross multiply
    238,702x = 334,614 × 334,614
  4. Step 4: Simplify right side
    238,702x = 111,966,528,996
  5. Step 5: Solve for x
    x = 111,966,528,996/238,702
  6. Step 6: Final answer
    x = 469,064.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.