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Finding the Third Proportional to 131,951 and 277,024

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Solution

The third proportional to 131,951 and 277,024 is: 581,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,951 : 277,024 = 277,024 : x
  2. Step 2: Convert to fraction form
    131,951/277,024 = 277,024/x
  3. Step 3: Cross multiply
    131,951x = 277,024 × 277,024
  4. Step 4: Simplify right side
    131,951x = 76,742,296,576
  5. Step 5: Solve for x
    x = 76,742,296,576/131,951
  6. Step 6: Final answer
    x = 581,596.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.