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Finding the Third Proportional to 173,605 and 380,446

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Solution

The third proportional to 173,605 and 380,446 is: 833,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,605 : 380,446 = 380,446 : x
  2. Step 2: Convert to fraction form
    173,605/380,446 = 380,446/x
  3. Step 3: Cross multiply
    173,605x = 380,446 × 380,446
  4. Step 4: Simplify right side
    173,605x = 144,739,158,916
  5. Step 5: Solve for x
    x = 144,739,158,916/173,605
  6. Step 6: Final answer
    x = 833,726.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.