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Finding the Third Proportional to 202,194 and 311,724

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Solution

The third proportional to 202,194 and 311,724 is: 480,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,194 : 311,724 = 311,724 : x
  2. Step 2: Convert to fraction form
    202,194/311,724 = 311,724/x
  3. Step 3: Cross multiply
    202,194x = 311,724 × 311,724
  4. Step 4: Simplify right side
    202,194x = 97,171,852,176
  5. Step 5: Solve for x
    x = 97,171,852,176/202,194
  6. Step 6: Final answer
    x = 480,587.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.