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Finding the Third Proportional to 169,140 and 371,760

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Solution

The third proportional to 169,140 and 371,760 is: 817,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,140 : 371,760 = 371,760 : x
  2. Step 2: Convert to fraction form
    169,140/371,760 = 371,760/x
  3. Step 3: Cross multiply
    169,140x = 371,760 × 371,760
  4. Step 4: Simplify right side
    169,140x = 138,205,497,600
  5. Step 5: Solve for x
    x = 138,205,497,600/169,140
  6. Step 6: Final answer
    x = 817,107.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.