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Finding the Third Proportional to 253,231 and 386,278

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Solution

The third proportional to 253,231 and 386,278 is: 589,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,231 : 386,278 = 386,278 : x
  2. Step 2: Convert to fraction form
    253,231/386,278 = 386,278/x
  3. Step 3: Cross multiply
    253,231x = 386,278 × 386,278
  4. Step 4: Simplify right side
    253,231x = 149,210,693,284
  5. Step 5: Solve for x
    x = 149,210,693,284/253,231
  6. Step 6: Final answer
    x = 589,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.