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Finding the Third Proportional to 127,224 and 277,533

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Solution

The third proportional to 127,224 and 277,533 is: 605,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,224 : 277,533 = 277,533 : x
  2. Step 2: Convert to fraction form
    127,224/277,533 = 277,533/x
  3. Step 3: Cross multiply
    127,224x = 277,533 × 277,533
  4. Step 4: Simplify right side
    127,224x = 77,024,566,089
  5. Step 5: Solve for x
    x = 77,024,566,089/127,224
  6. Step 6: Final answer
    x = 605,424.81

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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.