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Finding the Third Proportional to 176,349 and 384,166.50

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Solution

The third proportional to 176,349 and 384,166.50 is: 836,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,349 : 384,166.50 = 384,166.50 : x
  2. Step 2: Convert to fraction form
    176,349/384,166.50 = 384,166.50/x
  3. Step 3: Cross multiply
    176,349x = 384,166.50 × 384,166.50
  4. Step 4: Simplify right side
    176,349x = 147,583,899,722.25
  5. Step 5: Solve for x
    x = 147,583,899,722.25/176,349
  6. Step 6: Final answer
    x = 836,885.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.