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Finding the Third Proportional to 208,598 and 247,964

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Solution

The third proportional to 208,598 and 247,964 is: 294,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,598 : 247,964 = 247,964 : x
  2. Step 2: Convert to fraction form
    208,598/247,964 = 247,964/x
  3. Step 3: Cross multiply
    208,598x = 247,964 × 247,964
  4. Step 4: Simplify right side
    208,598x = 61,486,145,296
  5. Step 5: Solve for x
    x = 61,486,145,296/208,598
  6. Step 6: Final answer
    x = 294,759.04

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.