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Finding the Third Proportional to 161,151.75 and 341,512.50

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Solution

The third proportional to 161,151.75 and 341,512.50 is: 723,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,151.75 : 341,512.50 = 341,512.50 : x
  2. Step 2: Convert to fraction form
    161,151.75/341,512.50 = 341,512.50/x
  3. Step 3: Cross multiply
    161,151.75x = 341,512.50 × 341,512.50
  4. Step 4: Simplify right side
    161,151.75x = 116,630,787,656.25
  5. Step 5: Solve for x
    x = 116,630,787,656.25/161,151.75
  6. Step 6: Final answer
    x = 723,732.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.