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Finding the Third Proportional to 179,952 and 279,360

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Solution

The third proportional to 179,952 and 279,360 is: 433,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952 : 279,360 = 279,360 : x
  2. Step 2: Convert to fraction form
    179,952/279,360 = 279,360/x
  3. Step 3: Cross multiply
    179,952x = 279,360 × 279,360
  4. Step 4: Simplify right side
    179,952x = 78,042,009,600
  5. Step 5: Solve for x
    x = 78,042,009,600/179,952
  6. Step 6: Final answer
    x = 433,682.37

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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.