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Finding the Third Proportional to 84,644 and 180,948

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Solution

The third proportional to 84,644 and 180,948 is: 386,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,644 : 180,948 = 180,948 : x
  2. Step 2: Convert to fraction form
    84,644/180,948 = 180,948/x
  3. Step 3: Cross multiply
    84,644x = 180,948 × 180,948
  4. Step 4: Simplify right side
    84,644x = 32,742,178,704
  5. Step 5: Solve for x
    x = 32,742,178,704/84,644
  6. Step 6: Final answer
    x = 386,822.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.