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Finding the Third Proportional to 159,516 and 223,047

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Solution

The third proportional to 159,516 and 223,047 is: 311,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,516 : 223,047 = 223,047 : x
  2. Step 2: Convert to fraction form
    159,516/223,047 = 223,047/x
  3. Step 3: Cross multiply
    159,516x = 223,047 × 223,047
  4. Step 4: Simplify right side
    159,516x = 49,749,964,209
  5. Step 5: Solve for x
    x = 49,749,964,209/159,516
  6. Step 6: Final answer
    x = 311,880.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.