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Finding the Third Proportional to 147,791 and 306,092

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Solution

The third proportional to 147,791 and 306,092 is: 633,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,791 : 306,092 = 306,092 : x
  2. Step 2: Convert to fraction form
    147,791/306,092 = 306,092/x
  3. Step 3: Cross multiply
    147,791x = 306,092 × 306,092
  4. Step 4: Simplify right side
    147,791x = 93,692,312,464
  5. Step 5: Solve for x
    x = 93,692,312,464/147,791
  6. Step 6: Final answer
    x = 633,951.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.