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Finding the Third Proportional to 209,164.25 and 314,223.75

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Solution

The third proportional to 209,164.25 and 314,223.75 is: 472,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,164.25 : 314,223.75 = 314,223.75 : x
  2. Step 2: Convert to fraction form
    209,164.25/314,223.75 = 314,223.75/x
  3. Step 3: Cross multiply
    209,164.25x = 314,223.75 × 314,223.75
  4. Step 4: Simplify right side
    209,164.25x = 98,736,565,064.06
  5. Step 5: Solve for x
    x = 98,736,565,064.06/209,164.25
  6. Step 6: Final answer
    x = 472,052.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.