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Finding the Third Proportional to 130,916 and 279,328

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Solution

The third proportional to 130,916 and 279,328 is: 595,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,916 : 279,328 = 279,328 : x
  2. Step 2: Convert to fraction form
    130,916/279,328 = 279,328/x
  3. Step 3: Cross multiply
    130,916x = 279,328 × 279,328
  4. Step 4: Simplify right side
    130,916x = 78,024,131,584
  5. Step 5: Solve for x
    x = 78,024,131,584/130,916
  6. Step 6: Final answer
    x = 595,986.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.