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Finding the Third Proportional to 135,374 and 198,440

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Solution

The third proportional to 135,374 and 198,440 is: 290,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,374 : 198,440 = 198,440 : x
  2. Step 2: Convert to fraction form
    135,374/198,440 = 198,440/x
  3. Step 3: Cross multiply
    135,374x = 198,440 × 198,440
  4. Step 4: Simplify right side
    135,374x = 39,378,433,600
  5. Step 5: Solve for x
    x = 39,378,433,600/135,374
  6. Step 6: Final answer
    x = 290,886.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.