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Finding the Third Proportional to 169,443 and 365,130

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Solution

The third proportional to 169,443 and 365,130 is: 786,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,443 : 365,130 = 365,130 : x
  2. Step 2: Convert to fraction form
    169,443/365,130 = 365,130/x
  3. Step 3: Cross multiply
    169,443x = 365,130 × 365,130
  4. Step 4: Simplify right side
    169,443x = 133,319,916,900
  5. Step 5: Solve for x
    x = 133,319,916,900/169,443
  6. Step 6: Final answer
    x = 786,812.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.