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Finding the Third Proportional to 76,401 and 180,646.50

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Solution

The third proportional to 76,401 and 180,646.50 is: 427,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401 : 180,646.50 = 180,646.50 : x
  2. Step 2: Convert to fraction form
    76,401/180,646.50 = 180,646.50/x
  3. Step 3: Cross multiply
    76,401x = 180,646.50 × 180,646.50
  4. Step 4: Simplify right side
    76,401x = 32,633,157,962.25
  5. Step 5: Solve for x
    x = 32,633,157,962.25/76,401
  6. Step 6: Final answer
    x = 427,129.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.