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Finding the Third Proportional to 223,155 and 464,359.50

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Solution

The third proportional to 223,155 and 464,359.50 is: 966,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,155 : 464,359.50 = 464,359.50 : x
  2. Step 2: Convert to fraction form
    223,155/464,359.50 = 464,359.50/x
  3. Step 3: Cross multiply
    223,155x = 464,359.50 × 464,359.50
  4. Step 4: Simplify right side
    223,155x = 215,629,745,240.25
  5. Step 5: Solve for x
    x = 215,629,745,240.25/223,155
  6. Step 6: Final answer
    x = 966,277.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.