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Finding the Third Proportional to 172,599.19 and 369,187.88

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Solution

The third proportional to 172,599.19 and 369,187.88 is: 789,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,599.19 : 369,187.88 = 369,187.88 : x
  2. Step 2: Convert to fraction form
    172,599.19/369,187.88 = 369,187.88/x
  3. Step 3: Cross multiply
    172,599.19x = 369,187.88 × 369,187.88
  4. Step 4: Simplify right side
    172,599.19x = 136,299,687,047.02
  5. Step 5: Solve for x
    x = 136,299,687,047.02/172,599.19
  6. Step 6: Final answer
    x = 789,689.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.