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Finding the Third Proportional to 172,694 and 229,539

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Solution

The third proportional to 172,694 and 229,539 is: 305,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,694 : 229,539 = 229,539 : x
  2. Step 2: Convert to fraction form
    172,694/229,539 = 229,539/x
  3. Step 3: Cross multiply
    172,694x = 229,539 × 229,539
  4. Step 4: Simplify right side
    172,694x = 52,688,152,521
  5. Step 5: Solve for x
    x = 52,688,152,521/172,694
  6. Step 6: Final answer
    x = 305,095.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.