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Finding the Third Proportional to 169,192 and 245,790

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Solution

The third proportional to 169,192 and 245,790 is: 357,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,192 : 245,790 = 245,790 : x
  2. Step 2: Convert to fraction form
    169,192/245,790 = 245,790/x
  3. Step 3: Cross multiply
    169,192x = 245,790 × 245,790
  4. Step 4: Simplify right side
    169,192x = 60,412,724,100
  5. Step 5: Solve for x
    x = 60,412,724,100/169,192
  6. Step 6: Final answer
    x = 357,066.08

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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.