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Finding the Third Proportional to 235,737 and 365,310

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Solution

The third proportional to 235,737 and 365,310 is: 566,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,737 : 365,310 = 365,310 : x
  2. Step 2: Convert to fraction form
    235,737/365,310 = 365,310/x
  3. Step 3: Cross multiply
    235,737x = 365,310 × 365,310
  4. Step 4: Simplify right side
    235,737x = 133,451,396,100
  5. Step 5: Solve for x
    x = 133,451,396,100/235,737
  6. Step 6: Final answer
    x = 566,102.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.