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Finding the Third Proportional to 219,927 and 363,951

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Solution

The third proportional to 219,927 and 363,951 is: 602,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,927 : 363,951 = 363,951 : x
  2. Step 2: Convert to fraction form
    219,927/363,951 = 363,951/x
  3. Step 3: Cross multiply
    219,927x = 363,951 × 363,951
  4. Step 4: Simplify right side
    219,927x = 132,460,330,401
  5. Step 5: Solve for x
    x = 132,460,330,401/219,927
  6. Step 6: Final answer
    x = 602,292.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.