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Finding the Third Proportional to 238,712 and 334,632

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Solution

The third proportional to 238,712 and 334,632 is: 469,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,712 : 334,632 = 334,632 : x
  2. Step 2: Convert to fraction form
    238,712/334,632 = 334,632/x
  3. Step 3: Cross multiply
    238,712x = 334,632 × 334,632
  4. Step 4: Simplify right side
    238,712x = 111,978,575,424
  5. Step 5: Solve for x
    x = 111,978,575,424/238,712
  6. Step 6: Final answer
    x = 469,094.87

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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.