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Finding the Third Proportional to 173,974.50 and 370,737

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Solution

The third proportional to 173,974.50 and 370,737 is: 790,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,974.50 : 370,737 = 370,737 : x
  2. Step 2: Convert to fraction form
    173,974.50/370,737 = 370,737/x
  3. Step 3: Cross multiply
    173,974.50x = 370,737 × 370,737
  4. Step 4: Simplify right side
    173,974.50x = 137,445,923,169
  5. Step 5: Solve for x
    x = 137,445,923,169/173,974.50
  6. Step 6: Final answer
    x = 790,034.88

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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.