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Finding the Third Proportional to 182,568 and 272,628

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Solution

The third proportional to 182,568 and 272,628 is: 407,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,568 : 272,628 = 272,628 : x
  2. Step 2: Convert to fraction form
    182,568/272,628 = 272,628/x
  3. Step 3: Cross multiply
    182,568x = 272,628 × 272,628
  4. Step 4: Simplify right side
    182,568x = 74,326,026,384
  5. Step 5: Solve for x
    x = 74,326,026,384/182,568
  6. Step 6: Final answer
    x = 407,114.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.