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Finding the Third Proportional to 147,189 and 233,452

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Solution

The third proportional to 147,189 and 233,452 is: 370,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,189 : 233,452 = 233,452 : x
  2. Step 2: Convert to fraction form
    147,189/233,452 = 233,452/x
  3. Step 3: Cross multiply
    147,189x = 233,452 × 233,452
  4. Step 4: Simplify right side
    147,189x = 54,499,836,304
  5. Step 5: Solve for x
    x = 54,499,836,304/147,189
  6. Step 6: Final answer
    x = 370,271.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.