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Finding the Third Proportional to 150,304 and 233,050

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Solution

The third proportional to 150,304 and 233,050 is: 361,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,304 : 233,050 = 233,050 : x
  2. Step 2: Convert to fraction form
    150,304/233,050 = 233,050/x
  3. Step 3: Cross multiply
    150,304x = 233,050 × 233,050
  4. Step 4: Simplify right side
    150,304x = 54,312,302,500
  5. Step 5: Solve for x
    x = 54,312,302,500/150,304
  6. Step 6: Final answer
    x = 361,349.68

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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.