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Finding the Third Proportional to 130,914 and 279,324

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Solution

The third proportional to 130,914 and 279,324 is: 595,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,914 : 279,324 = 279,324 : x
  2. Step 2: Convert to fraction form
    130,914/279,324 = 279,324/x
  3. Step 3: Cross multiply
    130,914x = 279,324 × 279,324
  4. Step 4: Simplify right side
    130,914x = 78,021,896,976
  5. Step 5: Solve for x
    x = 78,021,896,976/130,914
  6. Step 6: Final answer
    x = 595,978.25

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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.