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Finding the Third Proportional to 147,602 and 305,707

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Solution

The third proportional to 147,602 and 305,707 is: 633,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,602 : 305,707 = 305,707 : x
  2. Step 2: Convert to fraction form
    147,602/305,707 = 305,707/x
  3. Step 3: Cross multiply
    147,602x = 305,707 × 305,707
  4. Step 4: Simplify right side
    147,602x = 93,456,769,849
  5. Step 5: Solve for x
    x = 93,456,769,849/147,602
  6. Step 6: Final answer
    x = 633,167.37

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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.