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Finding the Third Proportional to 223,801.50 and 457,942.50

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Solution

The third proportional to 223,801.50 and 457,942.50 is: 937,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,801.50 : 457,942.50 = 457,942.50 : x
  2. Step 2: Convert to fraction form
    223,801.50/457,942.50 = 457,942.50/x
  3. Step 3: Cross multiply
    223,801.50x = 457,942.50 × 457,942.50
  4. Step 4: Simplify right side
    223,801.50x = 209,711,333,306.25
  5. Step 5: Solve for x
    x = 209,711,333,306.25/223,801.50
  6. Step 6: Final answer
    x = 937,041.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.