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Finding the Third Proportional to 134,196 and 197,406

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Solution

The third proportional to 134,196 and 197,406 is: 290,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,196 : 197,406 = 197,406 : x
  2. Step 2: Convert to fraction form
    134,196/197,406 = 197,406/x
  3. Step 3: Cross multiply
    134,196x = 197,406 × 197,406
  4. Step 4: Simplify right side
    134,196x = 38,969,128,836
  5. Step 5: Solve for x
    x = 38,969,128,836/134,196
  6. Step 6: Final answer
    x = 290,389.65

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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.