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Finding the Third Proportional to 147,592 and 273,007

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Solution

The third proportional to 147,592 and 273,007 is: 504,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,592 : 273,007 = 273,007 : x
  2. Step 2: Convert to fraction form
    147,592/273,007 = 273,007/x
  3. Step 3: Cross multiply
    147,592x = 273,007 × 273,007
  4. Step 4: Simplify right side
    147,592x = 74,532,822,049
  5. Step 5: Solve for x
    x = 74,532,822,049/147,592
  6. Step 6: Final answer
    x = 504,992.29

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.