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Finding the Third Proportional to 175,418.16 and 369,173.95

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Solution

The third proportional to 175,418.16 and 369,173.95 is: 776,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,418.16 : 369,173.95 = 369,173.95 : x
  2. Step 2: Convert to fraction form
    175,418.16/369,173.95 = 369,173.95/x
  3. Step 3: Cross multiply
    175,418.16x = 369,173.95 × 369,173.95
  4. Step 4: Simplify right side
    175,418.16x = 136,289,407,665.94
  5. Step 5: Solve for x
    x = 136,289,407,665.94/175,418.16
  6. Step 6: Final answer
    x = 776,940.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.