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Finding the Third Proportional to 179,715 and 238,468.50

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Solution

The third proportional to 179,715 and 238,468.50 is: 316,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,715 : 238,468.50 = 238,468.50 : x
  2. Step 2: Convert to fraction form
    179,715/238,468.50 = 238,468.50/x
  3. Step 3: Cross multiply
    179,715x = 238,468.50 × 238,468.50
  4. Step 4: Simplify right side
    179,715x = 56,867,225,492.25
  5. Step 5: Solve for x
    x = 56,867,225,492.25/179,715
  6. Step 6: Final answer
    x = 316,430.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.