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Finding the Third Proportional to 173,935 and 377,613

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Solution

The third proportional to 173,935 and 377,613 is: 819,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,935 : 377,613 = 377,613 : x
  2. Step 2: Convert to fraction form
    173,935/377,613 = 377,613/x
  3. Step 3: Cross multiply
    173,935x = 377,613 × 377,613
  4. Step 4: Simplify right side
    173,935x = 142,591,577,769
  5. Step 5: Solve for x
    x = 142,591,577,769/173,935
  6. Step 6: Final answer
    x = 819,798.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.