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Finding the Third Proportional to 130,762 and 279,375

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Solution

The third proportional to 130,762 and 279,375 is: 596,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,762 : 279,375 = 279,375 : x
  2. Step 2: Convert to fraction form
    130,762/279,375 = 279,375/x
  3. Step 3: Cross multiply
    130,762x = 279,375 × 279,375
  4. Step 4: Simplify right side
    130,762x = 78,050,390,625
  5. Step 5: Solve for x
    x = 78,050,390,625/130,762
  6. Step 6: Final answer
    x = 596,888.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.