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Finding the Third Proportional to 127,056 and 270,984

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Solution

The third proportional to 127,056 and 270,984 is: 577,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,056 : 270,984 = 270,984 : x
  2. Step 2: Convert to fraction form
    127,056/270,984 = 270,984/x
  3. Step 3: Cross multiply
    127,056x = 270,984 × 270,984
  4. Step 4: Simplify right side
    127,056x = 73,432,328,256
  5. Step 5: Solve for x
    x = 73,432,328,256/127,056
  6. Step 6: Final answer
    x = 577,952.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.