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Finding the Third Proportional to 175,431 and 385,854

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Solution

The third proportional to 175,431 and 385,854 is: 848,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,431 : 385,854 = 385,854 : x
  2. Step 2: Convert to fraction form
    175,431/385,854 = 385,854/x
  3. Step 3: Cross multiply
    175,431x = 385,854 × 385,854
  4. Step 4: Simplify right side
    175,431x = 148,883,309,316
  5. Step 5: Solve for x
    x = 148,883,309,316/175,431
  6. Step 6: Final answer
    x = 848,671.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.