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Finding the Third Proportional to 160,519 and 238,467.50

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Solution

The third proportional to 160,519 and 238,467.50 is: 354,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,519 : 238,467.50 = 238,467.50 : x
  2. Step 2: Convert to fraction form
    160,519/238,467.50 = 238,467.50/x
  3. Step 3: Cross multiply
    160,519x = 238,467.50 × 238,467.50
  4. Step 4: Simplify right side
    160,519x = 56,866,748,556.25
  5. Step 5: Solve for x
    x = 56,866,748,556.25/160,519
  6. Step 6: Final answer
    x = 354,268.02

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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.