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Finding the Third Proportional to 147,420 and 233,806

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Solution

The third proportional to 147,420 and 233,806 is: 370,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,420 : 233,806 = 233,806 : x
  2. Step 2: Convert to fraction form
    147,420/233,806 = 233,806/x
  3. Step 3: Cross multiply
    147,420x = 233,806 × 233,806
  4. Step 4: Simplify right side
    147,420x = 54,665,245,636
  5. Step 5: Solve for x
    x = 54,665,245,636/147,420
  6. Step 6: Final answer
    x = 370,812.95

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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.