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Finding the Third Proportional to 167,530.50 and 259,075.75

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Solution

The third proportional to 167,530.50 and 259,075.75 is: 400,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,530.50 : 259,075.75 = 259,075.75 : x
  2. Step 2: Convert to fraction form
    167,530.50/259,075.75 = 259,075.75/x
  3. Step 3: Cross multiply
    167,530.50x = 259,075.75 × 259,075.75
  4. Step 4: Simplify right side
    167,530.50x = 67,120,244,238.06
  5. Step 5: Solve for x
    x = 67,120,244,238.06/167,530.50
  6. Step 6: Final answer
    x = 400,644.92

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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.