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Finding the Third Proportional to 250,015.50 and 397,167.75

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Solution

The third proportional to 250,015.50 and 397,167.75 is: 630,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,015.50 : 397,167.75 = 397,167.75 : x
  2. Step 2: Convert to fraction form
    250,015.50/397,167.75 = 397,167.75/x
  3. Step 3: Cross multiply
    250,015.50x = 397,167.75 × 397,167.75
  4. Step 4: Simplify right side
    250,015.50x = 157,742,221,640.06
  5. Step 5: Solve for x
    x = 157,742,221,640.06/250,015.50
  6. Step 6: Final answer
    x = 630,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.