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Finding the Third Proportional to 233,968.50 and 334,329.75

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Solution

The third proportional to 233,968.50 and 334,329.75 is: 477,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,968.50 : 334,329.75 = 334,329.75 : x
  2. Step 2: Convert to fraction form
    233,968.50/334,329.75 = 334,329.75/x
  3. Step 3: Cross multiply
    233,968.50x = 334,329.75 × 334,329.75
  4. Step 4: Simplify right side
    233,968.50x = 111,776,381,735.06
  5. Step 5: Solve for x
    x = 111,776,381,735.06/233,968.50
  6. Step 6: Final answer
    x = 477,741.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.