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Finding the Third Proportional to 219,054 and 283,653

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Solution

The third proportional to 219,054 and 283,653 is: 367,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,054 : 283,653 = 283,653 : x
  2. Step 2: Convert to fraction form
    219,054/283,653 = 283,653/x
  3. Step 3: Cross multiply
    219,054x = 283,653 × 283,653
  4. Step 4: Simplify right side
    219,054x = 80,459,024,409
  5. Step 5: Solve for x
    x = 80,459,024,409/219,054
  6. Step 6: Final answer
    x = 367,302.24

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.