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Finding the Third Proportional to 235,082 and 353,144

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Solution

The third proportional to 235,082 and 353,144 is: 530,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,082 : 353,144 = 353,144 : x
  2. Step 2: Convert to fraction form
    235,082/353,144 = 353,144/x
  3. Step 3: Cross multiply
    235,082x = 353,144 × 353,144
  4. Step 4: Simplify right side
    235,082x = 124,710,684,736
  5. Step 5: Solve for x
    x = 124,710,684,736/235,082
  6. Step 6: Final answer
    x = 530,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.