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Finding the Third Proportional to 127,435 and 277,021

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Solution

The third proportional to 127,435 and 277,021 is: 602,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,435 : 277,021 = 277,021 : x
  2. Step 2: Convert to fraction form
    127,435/277,021 = 277,021/x
  3. Step 3: Cross multiply
    127,435x = 277,021 × 277,021
  4. Step 4: Simplify right side
    127,435x = 76,740,634,441
  5. Step 5: Solve for x
    x = 76,740,634,441/127,435
  6. Step 6: Final answer
    x = 602,194.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.