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Finding the Third Proportional to 265,492.50 and 398,161

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Solution

The third proportional to 265,492.50 and 398,161 is: 597,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,492.50 : 398,161 = 398,161 : x
  2. Step 2: Convert to fraction form
    265,492.50/398,161 = 398,161/x
  3. Step 3: Cross multiply
    265,492.50x = 398,161 × 398,161
  4. Step 4: Simplify right side
    265,492.50x = 158,532,181,921
  5. Step 5: Solve for x
    x = 158,532,181,921/265,492.50
  6. Step 6: Final answer
    x = 597,124.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.