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Finding the Third Proportional to 226,851.75 and 308,272.50

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Solution

The third proportional to 226,851.75 and 308,272.50 is: 418,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,851.75 : 308,272.50 = 308,272.50 : x
  2. Step 2: Convert to fraction form
    226,851.75/308,272.50 = 308,272.50/x
  3. Step 3: Cross multiply
    226,851.75x = 308,272.50 × 308,272.50
  4. Step 4: Simplify right side
    226,851.75x = 95,031,934,256.25
  5. Step 5: Solve for x
    x = 95,031,934,256.25/226,851.75
  6. Step 6: Final answer
    x = 418,916.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.