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Finding the Third Proportional to 183,918 and 272,427

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Solution

The third proportional to 183,918 and 272,427 is: 403,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,918 : 272,427 = 272,427 : x
  2. Step 2: Convert to fraction form
    183,918/272,427 = 272,427/x
  3. Step 3: Cross multiply
    183,918x = 272,427 × 272,427
  4. Step 4: Simplify right side
    183,918x = 74,216,470,329
  5. Step 5: Solve for x
    x = 74,216,470,329/183,918
  6. Step 6: Final answer
    x = 403,530.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.