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Finding the Third Proportional to 147,785.50 and 306,081

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Solution

The third proportional to 147,785.50 and 306,081 is: 633,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,785.50 : 306,081 = 306,081 : x
  2. Step 2: Convert to fraction form
    147,785.50/306,081 = 306,081/x
  3. Step 3: Cross multiply
    147,785.50x = 306,081 × 306,081
  4. Step 4: Simplify right side
    147,785.50x = 93,685,578,561
  5. Step 5: Solve for x
    x = 93,685,578,561/147,785.50
  6. Step 6: Final answer
    x = 633,929.44

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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.