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Finding the Third Proportional to 176,013 and 373,842

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Solution

The third proportional to 176,013 and 373,842 is: 794,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,013 : 373,842 = 373,842 : x
  2. Step 2: Convert to fraction form
    176,013/373,842 = 373,842/x
  3. Step 3: Cross multiply
    176,013x = 373,842 × 373,842
  4. Step 4: Simplify right side
    176,013x = 139,757,840,964
  5. Step 5: Solve for x
    x = 139,757,840,964/176,013
  6. Step 6: Final answer
    x = 794,019.99

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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.