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Finding the Third Proportional to 172,392 and 371,028

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Solution

The third proportional to 172,392 and 371,028 is: 798,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,392 : 371,028 = 371,028 : x
  2. Step 2: Convert to fraction form
    172,392/371,028 = 371,028/x
  3. Step 3: Cross multiply
    172,392x = 371,028 × 371,028
  4. Step 4: Simplify right side
    172,392x = 137,661,776,784
  5. Step 5: Solve for x
    x = 137,661,776,784/172,392
  6. Step 6: Final answer
    x = 798,539.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.