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Finding the Third Proportional to 127,217 and 197,829

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Solution

The third proportional to 127,217 and 197,829 is: 307,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,217 : 197,829 = 197,829 : x
  2. Step 2: Convert to fraction form
    127,217/197,829 = 197,829/x
  3. Step 3: Cross multiply
    127,217x = 197,829 × 197,829
  4. Step 4: Simplify right side
    127,217x = 39,136,313,241
  5. Step 5: Solve for x
    x = 39,136,313,241/127,217
  6. Step 6: Final answer
    x = 307,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.