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Finding the Third Proportional to 156,771 and 238,438.50

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Solution

The third proportional to 156,771 and 238,438.50 is: 362,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,771 : 238,438.50 = 238,438.50 : x
  2. Step 2: Convert to fraction form
    156,771/238,438.50 = 238,438.50/x
  3. Step 3: Cross multiply
    156,771x = 238,438.50 × 238,438.50
  4. Step 4: Simplify right side
    156,771x = 56,852,918,282.25
  5. Step 5: Solve for x
    x = 56,852,918,282.25/156,771
  6. Step 6: Final answer
    x = 362,649.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.