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Finding the Third Proportional to 134,424 and 198,564

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Solution

The third proportional to 134,424 and 198,564 is: 293,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,424 : 198,564 = 198,564 : x
  2. Step 2: Convert to fraction form
    134,424/198,564 = 198,564/x
  3. Step 3: Cross multiply
    134,424x = 198,564 × 198,564
  4. Step 4: Simplify right side
    134,424x = 39,427,662,096
  5. Step 5: Solve for x
    x = 39,427,662,096/134,424
  6. Step 6: Final answer
    x = 293,308.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.