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Finding the Third Proportional to 172,496 and 263,352

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Solution

The third proportional to 172,496 and 263,352 is: 402,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,496 : 263,352 = 263,352 : x
  2. Step 2: Convert to fraction form
    172,496/263,352 = 263,352/x
  3. Step 3: Cross multiply
    172,496x = 263,352 × 263,352
  4. Step 4: Simplify right side
    172,496x = 69,354,275,904
  5. Step 5: Solve for x
    x = 69,354,275,904/172,496
  6. Step 6: Final answer
    x = 402,063.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.