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Finding the Third Proportional to 147,892 and 323,772

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Solution

The third proportional to 147,892 and 323,772 is: 708,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,892 : 323,772 = 323,772 : x
  2. Step 2: Convert to fraction form
    147,892/323,772 = 323,772/x
  3. Step 3: Cross multiply
    147,892x = 323,772 × 323,772
  4. Step 4: Simplify right side
    147,892x = 104,828,307,984
  5. Step 5: Solve for x
    x = 104,828,307,984/147,892
  6. Step 6: Final answer
    x = 708,816.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.