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Finding the Third Proportional to 162,580.50 and 347,577.75

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Solution

The third proportional to 162,580.50 and 347,577.75 is: 743,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,580.50 : 347,577.75 = 347,577.75 : x
  2. Step 2: Convert to fraction form
    162,580.50/347,577.75 = 347,577.75/x
  3. Step 3: Cross multiply
    162,580.50x = 347,577.75 × 347,577.75
  4. Step 4: Simplify right side
    162,580.50x = 120,810,292,295.06
  5. Step 5: Solve for x
    x = 120,810,292,295.06/162,580.50
  6. Step 6: Final answer
    x = 743,079.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.