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Finding the Third Proportional to 173,783.81 and 255,037.78

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Solution

The third proportional to 173,783.81 and 255,037.78 is: 374,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,783.81 : 255,037.78 = 255,037.78 : x
  2. Step 2: Convert to fraction form
    173,783.81/255,037.78 = 255,037.78/x
  3. Step 3: Cross multiply
    173,783.81x = 255,037.78 × 255,037.78
  4. Step 4: Simplify right side
    173,783.81x = 65,044,269,864.92
  5. Step 5: Solve for x
    x = 65,044,269,864.92/173,783.81
  6. Step 6: Final answer
    x = 374,282.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.