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Finding the Third Proportional to 127,308 and 279,768

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Solution

The third proportional to 127,308 and 279,768 is: 614,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,308 : 279,768 = 279,768 : x
  2. Step 2: Convert to fraction form
    127,308/279,768 = 279,768/x
  3. Step 3: Cross multiply
    127,308x = 279,768 × 279,768
  4. Step 4: Simplify right side
    127,308x = 78,270,133,824
  5. Step 5: Solve for x
    x = 78,270,133,824/127,308
  6. Step 6: Final answer
    x = 614,809.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.