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Finding the Third Proportional to 172,192 and 258,278

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Solution

The third proportional to 172,192 and 258,278 is: 387,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,192 : 258,278 = 258,278 : x
  2. Step 2: Convert to fraction form
    172,192/258,278 = 258,278/x
  3. Step 3: Cross multiply
    172,192x = 258,278 × 258,278
  4. Step 4: Simplify right side
    172,192x = 66,707,525,284
  5. Step 5: Solve for x
    x = 66,707,525,284/172,192
  6. Step 6: Final answer
    x = 387,402.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.