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Finding the Third Proportional to 169,016 and 245,583

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Solution

The third proportional to 169,016 and 245,583 is: 356,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,016 : 245,583 = 245,583 : x
  2. Step 2: Convert to fraction form
    169,016/245,583 = 245,583/x
  3. Step 3: Cross multiply
    169,016x = 245,583 × 245,583
  4. Step 4: Simplify right side
    169,016x = 60,311,009,889
  5. Step 5: Solve for x
    x = 60,311,009,889/169,016
  6. Step 6: Final answer
    x = 356,836.10

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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.