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Finding the Third Proportional to 127,018 and 277,364

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Solution

The third proportional to 127,018 and 277,364 is: 605,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,018 : 277,364 = 277,364 : x
  2. Step 2: Convert to fraction form
    127,018/277,364 = 277,364/x
  3. Step 3: Cross multiply
    127,018x = 277,364 × 277,364
  4. Step 4: Simplify right side
    127,018x = 76,930,788,496
  5. Step 5: Solve for x
    x = 76,930,788,496/127,018
  6. Step 6: Final answer
    x = 605,668.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.