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Finding the Third Proportional to 179,127 and 386,226

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Solution

The third proportional to 179,127 and 386,226 is: 832,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,127 : 386,226 = 386,226 : x
  2. Step 2: Convert to fraction form
    179,127/386,226 = 386,226/x
  3. Step 3: Cross multiply
    179,127x = 386,226 × 386,226
  4. Step 4: Simplify right side
    179,127x = 149,170,523,076
  5. Step 5: Solve for x
    x = 149,170,523,076/179,127
  6. Step 6: Final answer
    x = 832,764.03

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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.