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Finding the Third Proportional to 209,124 and 332,376

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Solution

The third proportional to 209,124 and 332,376 is: 528,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124 : 332,376 = 332,376 : x
  2. Step 2: Convert to fraction form
    209,124/332,376 = 332,376/x
  3. Step 3: Cross multiply
    209,124x = 332,376 × 332,376
  4. Step 4: Simplify right side
    209,124x = 110,473,805,376
  5. Step 5: Solve for x
    x = 110,473,805,376/209,124
  6. Step 6: Final answer
    x = 528,269.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.