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Finding the Third Proportional to 173,691.84 and 277,318.69

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Solution

The third proportional to 173,691.84 and 277,318.69 is: 442,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,691.84 : 277,318.69 = 277,318.69 : x
  2. Step 2: Convert to fraction form
    173,691.84/277,318.69 = 277,318.69/x
  3. Step 3: Cross multiply
    173,691.84x = 277,318.69 × 277,318.69
  4. Step 4: Simplify right side
    173,691.84x = 76,905,654,436.72
  5. Step 5: Solve for x
    x = 76,905,654,436.72/173,691.84
  6. Step 6: Final answer
    x = 442,770.67

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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.