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Finding the Third Proportional to 134,768 and 197,240

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Solution

The third proportional to 134,768 and 197,240 is: 288,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,768 : 197,240 = 197,240 : x
  2. Step 2: Convert to fraction form
    134,768/197,240 = 197,240/x
  3. Step 3: Cross multiply
    134,768x = 197,240 × 197,240
  4. Step 4: Simplify right side
    134,768x = 38,903,617,600
  5. Step 5: Solve for x
    x = 38,903,617,600/134,768
  6. Step 6: Final answer
    x = 288,671.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.