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Finding the Third Proportional to 147,724 and 322,174

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Solution

The third proportional to 147,724 and 322,174 is: 702,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,724 : 322,174 = 322,174 : x
  2. Step 2: Convert to fraction form
    147,724/322,174 = 322,174/x
  3. Step 3: Cross multiply
    147,724x = 322,174 × 322,174
  4. Step 4: Simplify right side
    147,724x = 103,796,086,276
  5. Step 5: Solve for x
    x = 103,796,086,276/147,724
  6. Step 6: Final answer
    x = 702,635.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.