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Finding the Third Proportional to 251,632 and 386,208

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Solution

The third proportional to 251,632 and 386,208 is: 592,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,632 : 386,208 = 386,208 : x
  2. Step 2: Convert to fraction form
    251,632/386,208 = 386,208/x
  3. Step 3: Cross multiply
    251,632x = 386,208 × 386,208
  4. Step 4: Simplify right side
    251,632x = 149,156,619,264
  5. Step 5: Solve for x
    x = 149,156,619,264/251,632
  6. Step 6: Final answer
    x = 592,756.96

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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.