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Finding the Third Proportional to 127,356 and 197,022

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Solution

The third proportional to 127,356 and 197,022 is: 304,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,356 : 197,022 = 197,022 : x
  2. Step 2: Convert to fraction form
    127,356/197,022 = 197,022/x
  3. Step 3: Cross multiply
    127,356x = 197,022 × 197,022
  4. Step 4: Simplify right side
    127,356x = 38,817,668,484
  5. Step 5: Solve for x
    x = 38,817,668,484/127,356
  6. Step 6: Final answer
    x = 304,796.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.