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Finding the Third Proportional to 147,282 and 233,589

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Solution

The third proportional to 147,282 and 233,589 is: 370,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,282 : 233,589 = 233,589 : x
  2. Step 2: Convert to fraction form
    147,282/233,589 = 233,589/x
  3. Step 3: Cross multiply
    147,282x = 233,589 × 233,589
  4. Step 4: Simplify right side
    147,282x = 54,563,820,921
  5. Step 5: Solve for x
    x = 54,563,820,921/147,282
  6. Step 6: Final answer
    x = 370,471.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.