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Finding the Third Proportional to 147,769 and 306,048

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Solution

The third proportional to 147,769 and 306,048 is: 633,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,769 : 306,048 = 306,048 : x
  2. Step 2: Convert to fraction form
    147,769/306,048 = 306,048/x
  3. Step 3: Cross multiply
    147,769x = 306,048 × 306,048
  4. Step 4: Simplify right side
    147,769x = 93,665,378,304
  5. Step 5: Solve for x
    x = 93,665,378,304/147,769
  6. Step 6: Final answer
    x = 633,863.52

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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.