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Finding the Third Proportional to 170,770 and 371,072

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Solution

The third proportional to 170,770 and 371,072 is: 806,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,770 : 371,072 = 371,072 : x
  2. Step 2: Convert to fraction form
    170,770/371,072 = 371,072/x
  3. Step 3: Cross multiply
    170,770x = 371,072 × 371,072
  4. Step 4: Simplify right side
    170,770x = 137,694,429,184
  5. Step 5: Solve for x
    x = 137,694,429,184/170,770
  6. Step 6: Final answer
    x = 806,315.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.