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Finding the Third Proportional to 83,546 and 197,152

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Solution

The third proportional to 83,546 and 197,152 is: 465,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546 : 197,152 = 197,152 : x
  2. Step 2: Convert to fraction form
    83,546/197,152 = 197,152/x
  3. Step 3: Cross multiply
    83,546x = 197,152 × 197,152
  4. Step 4: Simplify right side
    83,546x = 38,868,911,104
  5. Step 5: Solve for x
    x = 38,868,911,104/83,546
  6. Step 6: Final answer
    x = 465,239.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.