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Finding the Third Proportional to 174,622.50 and 374,154.75

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Solution

The third proportional to 174,622.50 and 374,154.75 is: 801,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,622.50 : 374,154.75 = 374,154.75 : x
  2. Step 2: Convert to fraction form
    174,622.50/374,154.75 = 374,154.75/x
  3. Step 3: Cross multiply
    174,622.50x = 374,154.75 × 374,154.75
  4. Step 4: Simplify right side
    174,622.50x = 139,991,776,947.56
  5. Step 5: Solve for x
    x = 139,991,776,947.56/174,622.50
  6. Step 6: Final answer
    x = 801,682.35

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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.