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Finding the Third Proportional to 130,906 and 273,476

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Solution

The third proportional to 130,906 and 273,476 is: 571,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,906 : 273,476 = 273,476 : x
  2. Step 2: Convert to fraction form
    130,906/273,476 = 273,476/x
  3. Step 3: Cross multiply
    130,906x = 273,476 × 273,476
  4. Step 4: Simplify right side
    130,906x = 74,789,122,576
  5. Step 5: Solve for x
    x = 74,789,122,576/130,906
  6. Step 6: Final answer
    x = 571,319.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.