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Finding the Third Proportional to 173,632 and 368,588

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Solution

The third proportional to 173,632 and 368,588 is: 782,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,632 : 368,588 = 368,588 : x
  2. Step 2: Convert to fraction form
    173,632/368,588 = 368,588/x
  3. Step 3: Cross multiply
    173,632x = 368,588 × 368,588
  4. Step 4: Simplify right side
    173,632x = 135,857,113,744
  5. Step 5: Solve for x
    x = 135,857,113,744/173,632
  6. Step 6: Final answer
    x = 782,442.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.