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Finding the Third Proportional to 172,602 and 377,482

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Solution

The third proportional to 172,602 and 377,482 is: 825,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,602 : 377,482 = 377,482 : x
  2. Step 2: Convert to fraction form
    172,602/377,482 = 377,482/x
  3. Step 3: Cross multiply
    172,602x = 377,482 × 377,482
  4. Step 4: Simplify right side
    172,602x = 142,492,660,324
  5. Step 5: Solve for x
    x = 142,492,660,324/172,602
  6. Step 6: Final answer
    x = 825,556.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.