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Finding the Third Proportional to 217,747 and 333,101

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Solution

The third proportional to 217,747 and 333,101 is: 509,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,747 : 333,101 = 333,101 : x
  2. Step 2: Convert to fraction form
    217,747/333,101 = 333,101/x
  3. Step 3: Cross multiply
    217,747x = 333,101 × 333,101
  4. Step 4: Simplify right side
    217,747x = 110,956,276,201
  5. Step 5: Solve for x
    x = 110,956,276,201/217,747
  6. Step 6: Final answer
    x = 509,565.12

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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.