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Finding the Third Proportional to 180,410.50 and 280,459.50

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Solution

The third proportional to 180,410.50 and 280,459.50 is: 435,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,410.50 : 280,459.50 = 280,459.50 : x
  2. Step 2: Convert to fraction form
    180,410.50/280,459.50 = 280,459.50/x
  3. Step 3: Cross multiply
    180,410.50x = 280,459.50 × 280,459.50
  4. Step 4: Simplify right side
    180,410.50x = 78,657,531,140.25
  5. Step 5: Solve for x
    x = 78,657,531,140.25/180,410.50
  6. Step 6: Final answer
    x = 435,991.98

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Why These Related Problems?

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