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Finding the Third Proportional to 171,335.95 and 371,273.77

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Solution

The third proportional to 171,335.95 and 371,273.77 is: 804,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,335.95 : 371,273.77 = 371,273.77 : x
  2. Step 2: Convert to fraction form
    171,335.95/371,273.77 = 371,273.77/x
  3. Step 3: Cross multiply
    171,335.95x = 371,273.77 × 371,273.77
  4. Step 4: Simplify right side
    171,335.95x = 137,844,209,041.37
  5. Step 5: Solve for x
    x = 137,844,209,041.37/171,335.95
  6. Step 6: Final answer
    x = 804,525.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.