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Finding the Third Proportional to 219,797 and 342,536

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Solution

The third proportional to 219,797 and 342,536 is: 533,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,797 : 342,536 = 342,536 : x
  2. Step 2: Convert to fraction form
    219,797/342,536 = 342,536/x
  3. Step 3: Cross multiply
    219,797x = 342,536 × 342,536
  4. Step 4: Simplify right side
    219,797x = 117,330,911,296
  5. Step 5: Solve for x
    x = 117,330,911,296/219,797
  6. Step 6: Final answer
    x = 533,814.89

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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.