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Finding the Third Proportional to 155,527 and 233,885

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Solution

The third proportional to 155,527 and 233,885 is: 351,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527 : 233,885 = 233,885 : x
  2. Step 2: Convert to fraction form
    155,527/233,885 = 233,885/x
  3. Step 3: Cross multiply
    155,527x = 233,885 × 233,885
  4. Step 4: Simplify right side
    155,527x = 54,702,193,225
  5. Step 5: Solve for x
    x = 54,702,193,225/155,527
  6. Step 6: Final answer
    x = 351,721.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.