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Finding the Third Proportional to 160,519.50 and 238,468.50

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Solution

The third proportional to 160,519.50 and 238,468.50 is: 354,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,519.50 : 238,468.50 = 238,468.50 : x
  2. Step 2: Convert to fraction form
    160,519.50/238,468.50 = 238,468.50/x
  3. Step 3: Cross multiply
    160,519.50x = 238,468.50 × 238,468.50
  4. Step 4: Simplify right side
    160,519.50x = 56,867,225,492.25
  5. Step 5: Solve for x
    x = 56,867,225,492.25/160,519.50
  6. Step 6: Final answer
    x = 354,269.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.