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Finding the Third Proportional to 127,576 and 278,462

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Solution

The third proportional to 127,576 and 278,462 is: 607,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,576 : 278,462 = 278,462 : x
  2. Step 2: Convert to fraction form
    127,576/278,462 = 278,462/x
  3. Step 3: Cross multiply
    127,576x = 278,462 × 278,462
  4. Step 4: Simplify right side
    127,576x = 77,541,085,444
  5. Step 5: Solve for x
    x = 77,541,085,444/127,576
  6. Step 6: Final answer
    x = 607,803.08

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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.