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Finding the Third Proportional to 140,297.06 and 290,572.31

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Solution

The third proportional to 140,297.06 and 290,572.31 is: 601,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,297.06 : 290,572.31 = 290,572.31 : x
  2. Step 2: Convert to fraction form
    140,297.06/290,572.31 = 290,572.31/x
  3. Step 3: Cross multiply
    140,297.06x = 290,572.31 × 290,572.31
  4. Step 4: Simplify right side
    140,297.06x = 84,432,268,791.60
  5. Step 5: Solve for x
    x = 84,432,268,791.60/140,297.06
  6. Step 6: Final answer
    x = 601,810.67

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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.