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Finding the Third Proportional to 130,092 and 279,588

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Solution

The third proportional to 130,092 and 279,588 is: 600,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,092 : 279,588 = 279,588 : x
  2. Step 2: Convert to fraction form
    130,092/279,588 = 279,588/x
  3. Step 3: Cross multiply
    130,092x = 279,588 × 279,588
  4. Step 4: Simplify right side
    130,092x = 78,169,449,744
  5. Step 5: Solve for x
    x = 78,169,449,744/130,092
  6. Step 6: Final answer
    x = 600,878.22

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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.