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Finding the Third Proportional to 213,736.50 and 333,545.06

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Solution

The third proportional to 213,736.50 and 333,545.06 is: 520,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,736.50 : 333,545.06 = 333,545.06 : x
  2. Step 2: Convert to fraction form
    213,736.50/333,545.06 = 333,545.06/x
  3. Step 3: Cross multiply
    213,736.50x = 333,545.06 × 333,545.06
  4. Step 4: Simplify right side
    213,736.50x = 111,252,308,718.13
  5. Step 5: Solve for x
    x = 111,252,308,718.13/213,736.50
  6. Step 6: Final answer
    x = 520,511.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.