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Finding the Third Proportional to 147,600 and 305,703

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Solution

The third proportional to 147,600 and 305,703 is: 633,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,600 : 305,703 = 305,703 : x
  2. Step 2: Convert to fraction form
    147,600/305,703 = 305,703/x
  3. Step 3: Cross multiply
    147,600x = 305,703 × 305,703
  4. Step 4: Simplify right side
    147,600x = 93,454,324,209
  5. Step 5: Solve for x
    x = 93,454,324,209/147,600
  6. Step 6: Final answer
    x = 633,159.38

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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.