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Finding the Third Proportional to 146,033.81 and 315,421.69

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Solution

The third proportional to 146,033.81 and 315,421.69 is: 681,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,033.81 : 315,421.69 = 315,421.69 : x
  2. Step 2: Convert to fraction form
    146,033.81/315,421.69 = 315,421.69/x
  3. Step 3: Cross multiply
    146,033.81x = 315,421.69 × 315,421.69
  4. Step 4: Simplify right side
    146,033.81x = 99,490,840,945.35
  5. Step 5: Solve for x
    x = 99,490,840,945.35/146,033.81
  6. Step 6: Final answer
    x = 681,286.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.