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Finding the Third Proportional to 265,432.50 and 422,193

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Solution

The third proportional to 265,432.50 and 422,193 is: 671,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,432.50 : 422,193 = 422,193 : x
  2. Step 2: Convert to fraction form
    265,432.50/422,193 = 422,193/x
  3. Step 3: Cross multiply
    265,432.50x = 422,193 × 422,193
  4. Step 4: Simplify right side
    265,432.50x = 178,246,929,249
  5. Step 5: Solve for x
    x = 178,246,929,249/265,432.50
  6. Step 6: Final answer
    x = 671,533.93

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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.