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Finding the Third Proportional to 233,238 and 371,308.50

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Solution

The third proportional to 233,238 and 371,308.50 is: 591,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,238 : 371,308.50 = 371,308.50 : x
  2. Step 2: Convert to fraction form
    233,238/371,308.50 = 371,308.50/x
  3. Step 3: Cross multiply
    233,238x = 371,308.50 × 371,308.50
  4. Step 4: Simplify right side
    233,238x = 137,870,002,172.25
  5. Step 5: Solve for x
    x = 137,870,002,172.25/233,238
  6. Step 6: Final answer
    x = 591,112.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.