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Finding the Third Proportional to 169,574 and 356,212

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Solution

The third proportional to 169,574 and 356,212 is: 748,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,574 : 356,212 = 356,212 : x
  2. Step 2: Convert to fraction form
    169,574/356,212 = 356,212/x
  3. Step 3: Cross multiply
    169,574x = 356,212 × 356,212
  4. Step 4: Simplify right side
    169,574x = 126,886,988,944
  5. Step 5: Solve for x
    x = 126,886,988,944/169,574
  6. Step 6: Final answer
    x = 748,269.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.