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Finding the Third Proportional to 152,307 and 227,583

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Solution

The third proportional to 152,307 and 227,583 is: 340,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307 : 227,583 = 227,583 : x
  2. Step 2: Convert to fraction form
    152,307/227,583 = 227,583/x
  3. Step 3: Cross multiply
    152,307x = 227,583 × 227,583
  4. Step 4: Simplify right side
    152,307x = 51,794,021,889
  5. Step 5: Solve for x
    x = 51,794,021,889/152,307
  6. Step 6: Final answer
    x = 340,063.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.