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Finding the Third Proportional to 171,252 and 263,547

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Solution

The third proportional to 171,252 and 263,547 is: 405,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,252 : 263,547 = 263,547 : x
  2. Step 2: Convert to fraction form
    171,252/263,547 = 263,547/x
  3. Step 3: Cross multiply
    171,252x = 263,547 × 263,547
  4. Step 4: Simplify right side
    171,252x = 69,457,021,209
  5. Step 5: Solve for x
    x = 69,457,021,209/171,252
  6. Step 6: Final answer
    x = 405,583.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.