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Finding the Third Proportional to 179,044 and 387,008

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Solution

The third proportional to 179,044 and 387,008 is: 836,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,044 : 387,008 = 387,008 : x
  2. Step 2: Convert to fraction form
    179,044/387,008 = 387,008/x
  3. Step 3: Cross multiply
    179,044x = 387,008 × 387,008
  4. Step 4: Simplify right side
    179,044x = 149,775,192,064
  5. Step 5: Solve for x
    x = 149,775,192,064/179,044
  6. Step 6: Final answer
    x = 836,527.29

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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.