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Finding the Third Proportional to 173,983.50 and 370,755

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Solution

The third proportional to 173,983.50 and 370,755 is: 790,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,983.50 : 370,755 = 370,755 : x
  2. Step 2: Convert to fraction form
    173,983.50/370,755 = 370,755/x
  3. Step 3: Cross multiply
    173,983.50x = 370,755 × 370,755
  4. Step 4: Simplify right side
    173,983.50x = 137,459,270,025
  5. Step 5: Solve for x
    x = 137,459,270,025/173,983.50
  6. Step 6: Final answer
    x = 790,070.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.