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Finding the Third Proportional to 103,702 and 227,492

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Solution

The third proportional to 103,702 and 227,492 is: 499,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,702 : 227,492 = 227,492 : x
  2. Step 2: Convert to fraction form
    103,702/227,492 = 227,492/x
  3. Step 3: Cross multiply
    103,702x = 227,492 × 227,492
  4. Step 4: Simplify right side
    103,702x = 51,752,610,064
  5. Step 5: Solve for x
    x = 51,752,610,064/103,702
  6. Step 6: Final answer
    x = 499,051.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.