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Finding the Third Proportional to 217,834 and 333,159

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Solution

The third proportional to 217,834 and 333,159 is: 509,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,834 : 333,159 = 333,159 : x
  2. Step 2: Convert to fraction form
    217,834/333,159 = 333,159/x
  3. Step 3: Cross multiply
    217,834x = 333,159 × 333,159
  4. Step 4: Simplify right side
    217,834x = 110,994,919,281
  5. Step 5: Solve for x
    x = 110,994,919,281/217,834
  6. Step 6: Final answer
    x = 509,539.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.