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Finding the Third Proportional to 84,726 and 197,235

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Solution

The third proportional to 84,726 and 197,235 is: 459,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,726 : 197,235 = 197,235 : x
  2. Step 2: Convert to fraction form
    84,726/197,235 = 197,235/x
  3. Step 3: Cross multiply
    84,726x = 197,235 × 197,235
  4. Step 4: Simplify right side
    84,726x = 38,901,645,225
  5. Step 5: Solve for x
    x = 38,901,645,225/84,726
  6. Step 6: Final answer
    x = 459,146.49

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.