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Finding the Third Proportional to 169,500 and 371,562

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Solution

The third proportional to 169,500 and 371,562 is: 814,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,500 : 371,562 = 371,562 : x
  2. Step 2: Convert to fraction form
    169,500/371,562 = 371,562/x
  3. Step 3: Cross multiply
    169,500x = 371,562 × 371,562
  4. Step 4: Simplify right side
    169,500x = 138,058,319,844
  5. Step 5: Solve for x
    x = 138,058,319,844/169,500
  6. Step 6: Final answer
    x = 814,503.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.