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Finding the Third Proportional to 148,595.50 and 289,749

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Solution

The third proportional to 148,595.50 and 289,749 is: 564,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,595.50 : 289,749 = 289,749 : x
  2. Step 2: Convert to fraction form
    148,595.50/289,749 = 289,749/x
  3. Step 3: Cross multiply
    148,595.50x = 289,749 × 289,749
  4. Step 4: Simplify right side
    148,595.50x = 83,954,483,001
  5. Step 5: Solve for x
    x = 83,954,483,001/148,595.50
  6. Step 6: Final answer
    x = 564,986.71

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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.