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Finding the Third Proportional to 169,177 and 245,770

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Solution

The third proportional to 169,177 and 245,770 is: 357,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,177 : 245,770 = 245,770 : x
  2. Step 2: Convert to fraction form
    169,177/245,770 = 245,770/x
  3. Step 3: Cross multiply
    169,177x = 245,770 × 245,770
  4. Step 4: Simplify right side
    169,177x = 60,402,892,900
  5. Step 5: Solve for x
    x = 60,402,892,900/169,177
  6. Step 6: Final answer
    x = 357,039.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.