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Finding the Third Proportional to 180,697.50 and 264,566.25

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Solution

The third proportional to 180,697.50 and 264,566.25 is: 387,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,697.50 : 264,566.25 = 264,566.25 : x
  2. Step 2: Convert to fraction form
    180,697.50/264,566.25 = 264,566.25/x
  3. Step 3: Cross multiply
    180,697.50x = 264,566.25 × 264,566.25
  4. Step 4: Simplify right side
    180,697.50x = 69,995,300,639.06
  5. Step 5: Solve for x
    x = 69,995,300,639.06/180,697.50
  6. Step 6: Final answer
    x = 387,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.