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Finding the Third Proportional to 286,216.50 and 445,080

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Solution

The third proportional to 286,216.50 and 445,080 is: 692,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,216.50 : 445,080 = 445,080 : x
  2. Step 2: Convert to fraction form
    286,216.50/445,080 = 445,080/x
  3. Step 3: Cross multiply
    286,216.50x = 445,080 × 445,080
  4. Step 4: Simplify right side
    286,216.50x = 198,096,206,400
  5. Step 5: Solve for x
    x = 198,096,206,400/286,216.50
  6. Step 6: Final answer
    x = 692,120.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.