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Finding the Third Proportional to 213,700.50 and 329,802.75

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Solution

The third proportional to 213,700.50 and 329,802.75 is: 508,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,700.50 : 329,802.75 = 329,802.75 : x
  2. Step 2: Convert to fraction form
    213,700.50/329,802.75 = 329,802.75/x
  3. Step 3: Cross multiply
    213,700.50x = 329,802.75 × 329,802.75
  4. Step 4: Simplify right side
    213,700.50x = 108,769,853,907.56
  5. Step 5: Solve for x
    x = 108,769,853,907.56/213,700.50
  6. Step 6: Final answer
    x = 508,982.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.