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Finding the Third Proportional to 147,419 and 233,805

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Solution

The third proportional to 147,419 and 233,805 is: 370,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,419 : 233,805 = 233,805 : x
  2. Step 2: Convert to fraction form
    147,419/233,805 = 233,805/x
  3. Step 3: Cross multiply
    147,419x = 233,805 × 233,805
  4. Step 4: Simplify right side
    147,419x = 54,664,778,025
  5. Step 5: Solve for x
    x = 54,664,778,025/147,419
  6. Step 6: Final answer
    x = 370,812.30

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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.