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Finding the Third Proportional to 147,764 and 306,040

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Solution

The third proportional to 147,764 and 306,040 is: 633,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764 : 306,040 = 306,040 : x
  2. Step 2: Convert to fraction form
    147,764/306,040 = 306,040/x
  3. Step 3: Cross multiply
    147,764x = 306,040 × 306,040
  4. Step 4: Simplify right side
    147,764x = 93,660,481,600
  5. Step 5: Solve for x
    x = 93,660,481,600/147,764
  6. Step 6: Final answer
    x = 633,851.83

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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.