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Finding the Third Proportional to 173,823 and 247,942.50

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Solution

The third proportional to 173,823 and 247,942.50 is: 353,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,823 : 247,942.50 = 247,942.50 : x
  2. Step 2: Convert to fraction form
    173,823/247,942.50 = 247,942.50/x
  3. Step 3: Cross multiply
    173,823x = 247,942.50 × 247,942.50
  4. Step 4: Simplify right side
    173,823x = 61,475,483,306.25
  5. Step 5: Solve for x
    x = 61,475,483,306.25/173,823
  6. Step 6: Final answer
    x = 353,667.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.