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Finding the Third Proportional to 169,516.50 and 262,644.75

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Solution

The third proportional to 169,516.50 and 262,644.75 is: 406,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,516.50 : 262,644.75 = 262,644.75 : x
  2. Step 2: Convert to fraction form
    169,516.50/262,644.75 = 262,644.75/x
  3. Step 3: Cross multiply
    169,516.50x = 262,644.75 × 262,644.75
  4. Step 4: Simplify right side
    169,516.50x = 68,982,264,702.56
  5. Step 5: Solve for x
    x = 68,982,264,702.56/169,516.50
  6. Step 6: Final answer
    x = 406,935.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.