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Finding the Third Proportional to 173,751.75 and 277,488.75

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Solution

The third proportional to 173,751.75 and 277,488.75 is: 443,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,751.75 : 277,488.75 = 277,488.75 : x
  2. Step 2: Convert to fraction form
    173,751.75/277,488.75 = 277,488.75/x
  3. Step 3: Cross multiply
    173,751.75x = 277,488.75 × 277,488.75
  4. Step 4: Simplify right side
    173,751.75x = 77,000,006,376.56
  5. Step 5: Solve for x
    x = 77,000,006,376.56/173,751.75
  6. Step 6: Final answer
    x = 443,161.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.