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Finding the Third Proportional to 172,585.05 and 369,156.87

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Solution

The third proportional to 172,585.05 and 369,156.87 is: 789,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,585.05 : 369,156.87 = 369,156.87 : x
  2. Step 2: Convert to fraction form
    172,585.05/369,156.87 = 369,156.87/x
  3. Step 3: Cross multiply
    172,585.05x = 369,156.87 × 369,156.87
  4. Step 4: Simplify right side
    172,585.05x = 136,276,792,591.69
  5. Step 5: Solve for x
    x = 136,276,792,591.69/172,585.05
  6. Step 6: Final answer
    x = 789,621.05

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