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Finding the Third Proportional to 150,527 and 233,201

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Solution

The third proportional to 150,527 and 233,201 is: 361,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,527 : 233,201 = 233,201 : x
  2. Step 2: Convert to fraction form
    150,527/233,201 = 233,201/x
  3. Step 3: Cross multiply
    150,527x = 233,201 × 233,201
  4. Step 4: Simplify right side
    150,527x = 54,382,706,401
  5. Step 5: Solve for x
    x = 54,382,706,401/150,527
  6. Step 6: Final answer
    x = 361,282.07

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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.