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Finding the Third Proportional to 147,797.16 and 306,104.06

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Solution

The third proportional to 147,797.16 and 306,104.06 is: 633,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,797.16 : 306,104.06 = 306,104.06 : x
  2. Step 2: Convert to fraction form
    147,797.16/306,104.06 = 306,104.06/x
  3. Step 3: Cross multiply
    147,797.16x = 306,104.06 × 306,104.06
  4. Step 4: Simplify right side
    147,797.16x = 93,699,697,079.00
  5. Step 5: Solve for x
    x = 93,699,697,079.00/147,797.16
  6. Step 6: Final answer
    x = 633,974.97

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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.