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Finding the Third Proportional to 147,195 and 233,169.75

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Solution

The third proportional to 147,195 and 233,169.75 is: 369,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,195 : 233,169.75 = 233,169.75 : x
  2. Step 2: Convert to fraction form
    147,195/233,169.75 = 233,169.75/x
  3. Step 3: Cross multiply
    147,195x = 233,169.75 × 233,169.75
  4. Step 4: Simplify right side
    147,195x = 54,368,132,315.06
  5. Step 5: Solve for x
    x = 54,368,132,315.06/147,195
  6. Step 6: Final answer
    x = 369,361.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.