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Finding the Third Proportional to 147,904 and 323,796

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Solution

The third proportional to 147,904 and 323,796 is: 708,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,904 : 323,796 = 323,796 : x
  2. Step 2: Convert to fraction form
    147,904/323,796 = 323,796/x
  3. Step 3: Cross multiply
    147,904x = 323,796 × 323,796
  4. Step 4: Simplify right side
    147,904x = 104,843,849,616
  5. Step 5: Solve for x
    x = 104,843,849,616/147,904
  6. Step 6: Final answer
    x = 708,864.19

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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.