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Finding the Third Proportional to 162,391.50 and 255,099

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Solution

The third proportional to 162,391.50 and 255,099 is: 400,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,391.50 : 255,099 = 255,099 : x
  2. Step 2: Convert to fraction form
    162,391.50/255,099 = 255,099/x
  3. Step 3: Cross multiply
    162,391.50x = 255,099 × 255,099
  4. Step 4: Simplify right side
    162,391.50x = 65,075,499,801
  5. Step 5: Solve for x
    x = 65,075,499,801/162,391.50
  6. Step 6: Final answer
    x = 400,732.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.