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Finding the Third Proportional to 174,075 and 234,865

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Solution

The third proportional to 174,075 and 234,865 is: 316,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,075 : 234,865 = 234,865 : x
  2. Step 2: Convert to fraction form
    174,075/234,865 = 234,865/x
  3. Step 3: Cross multiply
    174,075x = 234,865 × 234,865
  4. Step 4: Simplify right side
    174,075x = 55,161,568,225
  5. Step 5: Solve for x
    x = 55,161,568,225/174,075
  6. Step 6: Final answer
    x = 316,883.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.