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Finding the Third Proportional to 90,234 and 182,658.38

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Solution

The third proportional to 90,234 and 182,658.38 is: 369,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,234 : 182,658.38 = 182,658.38 : x
  2. Step 2: Convert to fraction form
    90,234/182,658.38 = 182,658.38/x
  3. Step 3: Cross multiply
    90,234x = 182,658.38 × 182,658.38
  4. Step 4: Simplify right side
    90,234x = 33,364,081,957.64
  5. Step 5: Solve for x
    x = 33,364,081,957.64/90,234
  6. Step 6: Final answer
    x = 369,750.67

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.