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Finding the Third Proportional to 162,846 and 258,480

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Solution

The third proportional to 162,846 and 258,480 is: 410,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,846 : 258,480 = 258,480 : x
  2. Step 2: Convert to fraction form
    162,846/258,480 = 258,480/x
  3. Step 3: Cross multiply
    162,846x = 258,480 × 258,480
  4. Step 4: Simplify right side
    162,846x = 66,811,910,400
  5. Step 5: Solve for x
    x = 66,811,910,400/162,846
  6. Step 6: Final answer
    x = 410,276.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.