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Finding the Third Proportional to 172,345 and 248,230

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Solution

The third proportional to 172,345 and 248,230 is: 357,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,345 : 248,230 = 248,230 : x
  2. Step 2: Convert to fraction form
    172,345/248,230 = 248,230/x
  3. Step 3: Cross multiply
    172,345x = 248,230 × 248,230
  4. Step 4: Simplify right side
    172,345x = 61,618,132,900
  5. Step 5: Solve for x
    x = 61,618,132,900/172,345
  6. Step 6: Final answer
    x = 357,527.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.