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Finding the Third Proportional to 209,884.50 and 332,878.50

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Solution

The third proportional to 209,884.50 and 332,878.50 is: 527,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.50 : 332,878.50 = 332,878.50 : x
  2. Step 2: Convert to fraction form
    209,884.50/332,878.50 = 332,878.50/x
  3. Step 3: Cross multiply
    209,884.50x = 332,878.50 × 332,878.50
  4. Step 4: Simplify right side
    209,884.50x = 110,808,095,762.25
  5. Step 5: Solve for x
    x = 110,808,095,762.25/209,884.50
  6. Step 6: Final answer
    x = 527,947.97

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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.