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Finding the Third Proportional to 130,509 and 198,498

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Solution

The third proportional to 130,509 and 198,498 is: 301,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509 : 198,498 = 198,498 : x
  2. Step 2: Convert to fraction form
    130,509/198,498 = 198,498/x
  3. Step 3: Cross multiply
    130,509x = 198,498 × 198,498
  4. Step 4: Simplify right side
    130,509x = 39,401,456,004
  5. Step 5: Solve for x
    x = 39,401,456,004/130,509
  6. Step 6: Final answer
    x = 301,906.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.