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Finding the Third Proportional to 213,233.50 and 452,711

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Solution

The third proportional to 213,233.50 and 452,711 is: 961,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,233.50 : 452,711 = 452,711 : x
  2. Step 2: Convert to fraction form
    213,233.50/452,711 = 452,711/x
  3. Step 3: Cross multiply
    213,233.50x = 452,711 × 452,711
  4. Step 4: Simplify right side
    213,233.50x = 204,947,249,521
  5. Step 5: Solve for x
    x = 204,947,249,521/213,233.50
  6. Step 6: Final answer
    x = 961,140.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.