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Finding the Third Proportional to 92,302.50 and 198,750

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Solution

The third proportional to 92,302.50 and 198,750 is: 427,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,302.50 : 198,750 = 198,750 : x
  2. Step 2: Convert to fraction form
    92,302.50/198,750 = 198,750/x
  3. Step 3: Cross multiply
    92,302.50x = 198,750 × 198,750
  4. Step 4: Simplify right side
    92,302.50x = 39,501,562,500
  5. Step 5: Solve for x
    x = 39,501,562,500/92,302.50
  6. Step 6: Final answer
    x = 427,957.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.