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Finding the Third Proportional to 170,073 and 370,770

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Solution

The third proportional to 170,073 and 370,770 is: 808,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,073 : 370,770 = 370,770 : x
  2. Step 2: Convert to fraction form
    170,073/370,770 = 370,770/x
  3. Step 3: Cross multiply
    170,073x = 370,770 × 370,770
  4. Step 4: Simplify right side
    170,073x = 137,470,392,900
  5. Step 5: Solve for x
    x = 137,470,392,900/170,073
  6. Step 6: Final answer
    x = 808,302.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.