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Finding the Third Proportional to 127,596 and 277,308

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Solution

The third proportional to 127,596 and 277,308 is: 602,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596 : 277,308 = 277,308 : x
  2. Step 2: Convert to fraction form
    127,596/277,308 = 277,308/x
  3. Step 3: Cross multiply
    127,596x = 277,308 × 277,308
  4. Step 4: Simplify right side
    127,596x = 76,899,726,864
  5. Step 5: Solve for x
    x = 76,899,726,864/127,596
  6. Step 6: Final answer
    x = 602,681.33

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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.