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Finding the Third Proportional to 162,438.75 and 261,704.25

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Solution

The third proportional to 162,438.75 and 261,704.25 is: 421,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,438.75 : 261,704.25 = 261,704.25 : x
  2. Step 2: Convert to fraction form
    162,438.75/261,704.25 = 261,704.25/x
  3. Step 3: Cross multiply
    162,438.75x = 261,704.25 × 261,704.25
  4. Step 4: Simplify right side
    162,438.75x = 68,489,114,468.06
  5. Step 5: Solve for x
    x = 68,489,114,468.06/162,438.75
  6. Step 6: Final answer
    x = 421,630.40

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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.