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Finding the Third Proportional to 173,746.69 and 277,481.53

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Solution

The third proportional to 173,746.69 and 277,481.53 is: 443,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,746.69 : 277,481.53 = 277,481.53 : x
  2. Step 2: Convert to fraction form
    173,746.69/277,481.53 = 277,481.53/x
  3. Step 3: Cross multiply
    173,746.69x = 277,481.53 × 277,481.53
  4. Step 4: Simplify right side
    173,746.69x = 76,996,000,184.84
  5. Step 5: Solve for x
    x = 76,996,000,184.84/173,746.69
  6. Step 6: Final answer
    x = 443,150.90

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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.