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Finding the Third Proportional to 163,149 and 335,082

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Solution

The third proportional to 163,149 and 335,082 is: 688,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,149 : 335,082 = 335,082 : x
  2. Step 2: Convert to fraction form
    163,149/335,082 = 335,082/x
  3. Step 3: Cross multiply
    163,149x = 335,082 × 335,082
  4. Step 4: Simplify right side
    163,149x = 112,279,946,724
  5. Step 5: Solve for x
    x = 112,279,946,724/163,149
  6. Step 6: Final answer
    x = 688,204.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.