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Finding the Third Proportional to 237,942 and 326,263.50

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Solution

The third proportional to 237,942 and 326,263.50 is: 447,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,942 : 326,263.50 = 326,263.50 : x
  2. Step 2: Convert to fraction form
    237,942/326,263.50 = 326,263.50/x
  3. Step 3: Cross multiply
    237,942x = 326,263.50 × 326,263.50
  4. Step 4: Simplify right side
    237,942x = 106,447,871,432.25
  5. Step 5: Solve for x
    x = 106,447,871,432.25/237,942
  6. Step 6: Final answer
    x = 447,368.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.