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Finding the Third Proportional to 213,728.25 and 333,531.75

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Solution

The third proportional to 213,728.25 and 333,531.75 is: 520,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728.25 : 333,531.75 = 333,531.75 : x
  2. Step 2: Convert to fraction form
    213,728.25/333,531.75 = 333,531.75/x
  3. Step 3: Cross multiply
    213,728.25x = 333,531.75 × 333,531.75
  4. Step 4: Simplify right side
    213,728.25x = 111,243,428,258.06
  5. Step 5: Solve for x
    x = 111,243,428,258.06/213,728.25
  6. Step 6: Final answer
    x = 520,490.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.