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Finding the Third Proportional to 162,091.50 and 260,436

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Solution

The third proportional to 162,091.50 and 260,436 is: 418,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,091.50 : 260,436 = 260,436 : x
  2. Step 2: Convert to fraction form
    162,091.50/260,436 = 260,436/x
  3. Step 3: Cross multiply
    162,091.50x = 260,436 × 260,436
  4. Step 4: Simplify right side
    162,091.50x = 67,826,910,096
  5. Step 5: Solve for x
    x = 67,826,910,096/162,091.50
  6. Step 6: Final answer
    x = 418,448.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.