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Finding the Third Proportional to 128,598 and 196,603

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Solution

The third proportional to 128,598 and 196,603 is: 300,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,598 : 196,603 = 196,603 : x
  2. Step 2: Convert to fraction form
    128,598/196,603 = 196,603/x
  3. Step 3: Cross multiply
    128,598x = 196,603 × 196,603
  4. Step 4: Simplify right side
    128,598x = 38,652,739,609
  5. Step 5: Solve for x
    x = 38,652,739,609/128,598
  6. Step 6: Final answer
    x = 300,570.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.