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Finding the Third Proportional to 173,202 and 380,426

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Solution

The third proportional to 173,202 and 380,426 is: 835,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,202 : 380,426 = 380,426 : x
  2. Step 2: Convert to fraction form
    173,202/380,426 = 380,426/x
  3. Step 3: Cross multiply
    173,202x = 380,426 × 380,426
  4. Step 4: Simplify right side
    173,202x = 144,723,941,476
  5. Step 5: Solve for x
    x = 144,723,941,476/173,202
  6. Step 6: Final answer
    x = 835,578.93

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