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Finding the Third Proportional to 147,768 and 198,036

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Solution

The third proportional to 147,768 and 198,036 is: 265,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,768 : 198,036 = 198,036 : x
  2. Step 2: Convert to fraction form
    147,768/198,036 = 198,036/x
  3. Step 3: Cross multiply
    147,768x = 198,036 × 198,036
  4. Step 4: Simplify right side
    147,768x = 39,218,257,296
  5. Step 5: Solve for x
    x = 39,218,257,296/147,768
  6. Step 6: Final answer
    x = 265,404.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.