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Finding the Third Proportional to 147,771 and 234,029.25

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Solution

The third proportional to 147,771 and 234,029.25 is: 370,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,771 : 234,029.25 = 234,029.25 : x
  2. Step 2: Convert to fraction form
    147,771/234,029.25 = 234,029.25/x
  3. Step 3: Cross multiply
    147,771x = 234,029.25 × 234,029.25
  4. Step 4: Simplify right side
    147,771x = 54,769,689,855.56
  5. Step 5: Solve for x
    x = 54,769,689,855.56/147,771
  6. Step 6: Final answer
    x = 370,638.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.