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Finding the Third Proportional to 150,732 and 233,532

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Solution

The third proportional to 150,732 and 233,532 is: 361,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,732 : 233,532 = 233,532 : x
  2. Step 2: Convert to fraction form
    150,732/233,532 = 233,532/x
  3. Step 3: Cross multiply
    150,732x = 233,532 × 233,532
  4. Step 4: Simplify right side
    150,732x = 54,537,195,024
  5. Step 5: Solve for x
    x = 54,537,195,024/150,732
  6. Step 6: Final answer
    x = 361,815.64

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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.