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Finding the Third Proportional to 219,165 and 296,995

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Solution

The third proportional to 219,165 and 296,995 is: 402,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,165 : 296,995 = 296,995 : x
  2. Step 2: Convert to fraction form
    219,165/296,995 = 296,995/x
  3. Step 3: Cross multiply
    219,165x = 296,995 × 296,995
  4. Step 4: Simplify right side
    219,165x = 88,206,030,025
  5. Step 5: Solve for x
    x = 88,206,030,025/219,165
  6. Step 6: Final answer
    x = 402,464.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.