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Finding the Third Proportional to 130,064 and 279,532

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Solution

The third proportional to 130,064 and 279,532 is: 600,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,064 : 279,532 = 279,532 : x
  2. Step 2: Convert to fraction form
    130,064/279,532 = 279,532/x
  3. Step 3: Cross multiply
    130,064x = 279,532 × 279,532
  4. Step 4: Simplify right side
    130,064x = 78,138,139,024
  5. Step 5: Solve for x
    x = 78,138,139,024/130,064
  6. Step 6: Final answer
    x = 600,766.85

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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.