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Finding the Third Proportional to 179,045.44 and 386,111.81

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Solution

The third proportional to 179,045.44 and 386,111.81 is: 832,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,045.44 : 386,111.81 = 386,111.81 : x
  2. Step 2: Convert to fraction form
    179,045.44/386,111.81 = 386,111.81/x
  3. Step 3: Cross multiply
    179,045.44x = 386,111.81 × 386,111.81
  4. Step 4: Simplify right side
    179,045.44x = 149,082,331,752.04
  5. Step 5: Solve for x
    x = 149,082,331,752.04/179,045.44
  6. Step 6: Final answer
    x = 832,650.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.