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Finding the Third Proportional to 147,763 and 234,015

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Solution

The third proportional to 147,763 and 234,015 is: 370,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,763 : 234,015 = 234,015 : x
  2. Step 2: Convert to fraction form
    147,763/234,015 = 234,015/x
  3. Step 3: Cross multiply
    147,763x = 234,015 × 234,015
  4. Step 4: Simplify right side
    147,763x = 54,763,020,225
  5. Step 5: Solve for x
    x = 54,763,020,225/147,763
  6. Step 6: Final answer
    x = 370,613.89

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Why These Related Problems?

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