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Finding the Third Proportional to 169,178 and 245,775

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Solution

The third proportional to 169,178 and 245,775 is: 357,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,178 : 245,775 = 245,775 : x
  2. Step 2: Convert to fraction form
    169,178/245,775 = 245,775/x
  3. Step 3: Cross multiply
    169,178x = 245,775 × 245,775
  4. Step 4: Simplify right side
    169,178x = 60,405,350,625
  5. Step 5: Solve for x
    x = 60,405,350,625/169,178
  6. Step 6: Final answer
    x = 357,052.04

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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.