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Finding the Third Proportional to 110,907 and 170,644.50

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Solution

The third proportional to 110,907 and 170,644.50 is: 262,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,907 : 170,644.50 = 170,644.50 : x
  2. Step 2: Convert to fraction form
    110,907/170,644.50 = 170,644.50/x
  3. Step 3: Cross multiply
    110,907x = 170,644.50 × 170,644.50
  4. Step 4: Simplify right side
    110,907x = 29,119,545,380.25
  5. Step 5: Solve for x
    x = 29,119,545,380.25/110,907
  6. Step 6: Final answer
    x = 262,558.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.