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Finding the Third Proportional to 163,737 and 344,970

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Solution

The third proportional to 163,737 and 344,970 is: 726,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,737 : 344,970 = 344,970 : x
  2. Step 2: Convert to fraction form
    163,737/344,970 = 344,970/x
  3. Step 3: Cross multiply
    163,737x = 344,970 × 344,970
  4. Step 4: Simplify right side
    163,737x = 119,004,300,900
  5. Step 5: Solve for x
    x = 119,004,300,900/163,737
  6. Step 6: Final answer
    x = 726,801.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.