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Finding the Third Proportional to 172,609 and 370,082

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Solution

The third proportional to 172,609 and 370,082 is: 793,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,609 : 370,082 = 370,082 : x
  2. Step 2: Convert to fraction form
    172,609/370,082 = 370,082/x
  3. Step 3: Cross multiply
    172,609x = 370,082 × 370,082
  4. Step 4: Simplify right side
    172,609x = 136,960,686,724
  5. Step 5: Solve for x
    x = 136,960,686,724/172,609
  6. Step 6: Final answer
    x = 793,473.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.