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Finding the Third Proportional to 199,237.50 and 304,911

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Solution

The third proportional to 199,237.50 and 304,911 is: 466,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,237.50 : 304,911 = 304,911 : x
  2. Step 2: Convert to fraction form
    199,237.50/304,911 = 304,911/x
  3. Step 3: Cross multiply
    199,237.50x = 304,911 × 304,911
  4. Step 4: Simplify right side
    199,237.50x = 92,970,717,921
  5. Step 5: Solve for x
    x = 92,970,717,921/199,237.50
  6. Step 6: Final answer
    x = 466,632.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.