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Finding the Third Proportional to 150,466 and 233,735

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Solution

The third proportional to 150,466 and 233,735 is: 363,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,466 : 233,735 = 233,735 : x
  2. Step 2: Convert to fraction form
    150,466/233,735 = 233,735/x
  3. Step 3: Cross multiply
    150,466x = 233,735 × 233,735
  4. Step 4: Simplify right side
    150,466x = 54,632,050,225
  5. Step 5: Solve for x
    x = 54,632,050,225/150,466
  6. Step 6: Final answer
    x = 363,085.68

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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.