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Finding the Third Proportional to 217,486.69 and 332,730.28

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Solution

The third proportional to 217,486.69 and 332,730.28 is: 509,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,486.69 : 332,730.28 = 332,730.28 : x
  2. Step 2: Convert to fraction form
    217,486.69/332,730.28 = 332,730.28/x
  3. Step 3: Cross multiply
    217,486.69x = 332,730.28 × 332,730.28
  4. Step 4: Simplify right side
    217,486.69x = 110,709,440,060.70
  5. Step 5: Solve for x
    x = 110,709,440,060.70/217,486.69
  6. Step 6: Final answer
    x = 509,040.08

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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.