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Finding the Third Proportional to 172,830 and 282,215

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Solution

The third proportional to 172,830 and 282,215 is: 460,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,830 : 282,215 = 282,215 : x
  2. Step 2: Convert to fraction form
    172,830/282,215 = 282,215/x
  3. Step 3: Cross multiply
    172,830x = 282,215 × 282,215
  4. Step 4: Simplify right side
    172,830x = 79,645,306,225
  5. Step 5: Solve for x
    x = 79,645,306,225/172,830
  6. Step 6: Final answer
    x = 460,830.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.