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Finding the Third Proportional to 219,799 and 342,539

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Solution

The third proportional to 219,799 and 342,539 is: 533,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,799 : 342,539 = 342,539 : x
  2. Step 2: Convert to fraction form
    219,799/342,539 = 342,539/x
  3. Step 3: Cross multiply
    219,799x = 342,539 × 342,539
  4. Step 4: Simplify right side
    219,799x = 117,332,966,521
  5. Step 5: Solve for x
    x = 117,332,966,521/219,799
  6. Step 6: Final answer
    x = 533,819.38

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