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Finding the Third Proportional to 147,765 and 306,040.50

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Solution

The third proportional to 147,765 and 306,040.50 is: 633,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,765 : 306,040.50 = 306,040.50 : x
  2. Step 2: Convert to fraction form
    147,765/306,040.50 = 306,040.50/x
  3. Step 3: Cross multiply
    147,765x = 306,040.50 × 306,040.50
  4. Step 4: Simplify right side
    147,765x = 93,660,787,640.25
  5. Step 5: Solve for x
    x = 93,660,787,640.25/147,765
  6. Step 6: Final answer
    x = 633,849.61

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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.