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Finding the Third Proportional to 156,074.50 and 342,528.50

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Solution

The third proportional to 156,074.50 and 342,528.50 is: 751,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,074.50 : 342,528.50 = 342,528.50 : x
  2. Step 2: Convert to fraction form
    156,074.50/342,528.50 = 342,528.50/x
  3. Step 3: Cross multiply
    156,074.50x = 342,528.50 × 342,528.50
  4. Step 4: Simplify right side
    156,074.50x = 117,325,773,312.25
  5. Step 5: Solve for x
    x = 117,325,773,312.25/156,074.50
  6. Step 6: Final answer
    x = 751,729.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.