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Finding the Third Proportional to 223,519.50 and 435,800.25

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Solution

The third proportional to 223,519.50 and 435,800.25 is: 849,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,519.50 : 435,800.25 = 435,800.25 : x
  2. Step 2: Convert to fraction form
    223,519.50/435,800.25 = 435,800.25/x
  3. Step 3: Cross multiply
    223,519.50x = 435,800.25 × 435,800.25
  4. Step 4: Simplify right side
    223,519.50x = 189,921,857,900.06
  5. Step 5: Solve for x
    x = 189,921,857,900.06/223,519.50
  6. Step 6: Final answer
    x = 849,688.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.