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Finding the Third Proportional to 202,666.50 and 439,947

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Solution

The third proportional to 202,666.50 and 439,947 is: 955,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,666.50 : 439,947 = 439,947 : x
  2. Step 2: Convert to fraction form
    202,666.50/439,947 = 439,947/x
  3. Step 3: Cross multiply
    202,666.50x = 439,947 × 439,947
  4. Step 4: Simplify right side
    202,666.50x = 193,553,362,809
  5. Step 5: Solve for x
    x = 193,553,362,809/202,666.50
  6. Step 6: Final answer
    x = 955,033.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.