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Finding the Third Proportional to 127.38 and 277.13

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Solution

The third proportional to 127.38 and 277.13 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 277.13 = 277.13 : x
  2. Step 2: Convert to fraction form
    127.38/277.13 = 277.13/x
  3. Step 3: Cross multiply
    127.38x = 277.13 × 277.13
  4. Step 4: Simplify right side
    127.38x = 76,798.27
  5. Step 5: Solve for x
    x = 76,798.27/127.38
  6. Step 6: Final answer
    x = 602.93

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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.