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Finding the Third Proportional to 180,594 and 279,504

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Solution

The third proportional to 180,594 and 279,504 is: 432,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,594 : 279,504 = 279,504 : x
  2. Step 2: Convert to fraction form
    180,594/279,504 = 279,504/x
  3. Step 3: Cross multiply
    180,594x = 279,504 × 279,504
  4. Step 4: Simplify right side
    180,594x = 78,122,486,016
  5. Step 5: Solve for x
    x = 78,122,486,016/180,594
  6. Step 6: Final answer
    x = 432,586.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.