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Finding the Third Proportional to 238,423.50 and 334,147.50

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Solution

The third proportional to 238,423.50 and 334,147.50 is: 468,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,423.50 : 334,147.50 = 334,147.50 : x
  2. Step 2: Convert to fraction form
    238,423.50/334,147.50 = 334,147.50/x
  3. Step 3: Cross multiply
    238,423.50x = 334,147.50 × 334,147.50
  4. Step 4: Simplify right side
    238,423.50x = 111,654,551,756.25
  5. Step 5: Solve for x
    x = 111,654,551,756.25/238,423.50
  6. Step 6: Final answer
    x = 468,303.47

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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.