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Finding the Third Proportional to 127,436 and 277,024

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Solution

The third proportional to 127,436 and 277,024 is: 602,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,436 : 277,024 = 277,024 : x
  2. Step 2: Convert to fraction form
    127,436/277,024 = 277,024/x
  3. Step 3: Cross multiply
    127,436x = 277,024 × 277,024
  4. Step 4: Simplify right side
    127,436x = 76,742,296,576
  5. Step 5: Solve for x
    x = 76,742,296,576/127,436
  6. Step 6: Final answer
    x = 602,202.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.