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Finding the Third Proportional to 130,096 and 279,936

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Solution

The third proportional to 130,096 and 279,936 is: 602,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,096 : 279,936 = 279,936 : x
  2. Step 2: Convert to fraction form
    130,096/279,936 = 279,936/x
  3. Step 3: Cross multiply
    130,096x = 279,936 × 279,936
  4. Step 4: Simplify right side
    130,096x = 78,364,164,096
  5. Step 5: Solve for x
    x = 78,364,164,096/130,096
  6. Step 6: Final answer
    x = 602,356.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.