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Finding the Third Proportional to 168,390.50 and 261,465

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Solution

The third proportional to 168,390.50 and 261,465 is: 405,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,390.50 : 261,465 = 261,465 : x
  2. Step 2: Convert to fraction form
    168,390.50/261,465 = 261,465/x
  3. Step 3: Cross multiply
    168,390.50x = 261,465 × 261,465
  4. Step 4: Simplify right side
    168,390.50x = 68,363,946,225
  5. Step 5: Solve for x
    x = 68,363,946,225/168,390.50
  6. Step 6: Final answer
    x = 405,984.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.