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Finding the Third Proportional to 219,364 and 331,746

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Solution

The third proportional to 219,364 and 331,746 is: 501,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,364 : 331,746 = 331,746 : x
  2. Step 2: Convert to fraction form
    219,364/331,746 = 331,746/x
  3. Step 3: Cross multiply
    219,364x = 331,746 × 331,746
  4. Step 4: Simplify right side
    219,364x = 110,055,408,516
  5. Step 5: Solve for x
    x = 110,055,408,516/219,364
  6. Step 6: Final answer
    x = 501,702.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.