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Finding the Third Proportional to 146,853.38 and 317,763.75

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Solution

The third proportional to 146,853.38 and 317,763.75 is: 687,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,853.38 : 317,763.75 = 317,763.75 : x
  2. Step 2: Convert to fraction form
    146,853.38/317,763.75 = 317,763.75/x
  3. Step 3: Cross multiply
    146,853.38x = 317,763.75 × 317,763.75
  4. Step 4: Simplify right side
    146,853.38x = 100,973,800,814.06
  5. Step 5: Solve for x
    x = 100,973,800,814.06/146,853.38
  6. Step 6: Final answer
    x = 687,582.43

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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.