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Finding the Third Proportional to 170,072 and 251,214

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Solution

The third proportional to 170,072 and 251,214 is: 371,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,072 : 251,214 = 251,214 : x
  2. Step 2: Convert to fraction form
    170,072/251,214 = 251,214/x
  3. Step 3: Cross multiply
    170,072x = 251,214 × 251,214
  4. Step 4: Simplify right side
    170,072x = 63,108,473,796
  5. Step 5: Solve for x
    x = 63,108,473,796/170,072
  6. Step 6: Final answer
    x = 371,069.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.