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Finding the Third Proportional to 156,799 and 238,885.50

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Solution

The third proportional to 156,799 and 238,885.50 is: 363,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,799 : 238,885.50 = 238,885.50 : x
  2. Step 2: Convert to fraction form
    156,799/238,885.50 = 238,885.50/x
  3. Step 3: Cross multiply
    156,799x = 238,885.50 × 238,885.50
  4. Step 4: Simplify right side
    156,799x = 57,066,282,110.25
  5. Step 5: Solve for x
    x = 57,066,282,110.25/156,799
  6. Step 6: Final answer
    x = 363,945.45

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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.