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Finding the Third Proportional to 147,929.25 and 323,844

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Solution

The third proportional to 147,929.25 and 323,844 is: 708,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,929.25 : 323,844 = 323,844 : x
  2. Step 2: Convert to fraction form
    147,929.25/323,844 = 323,844/x
  3. Step 3: Cross multiply
    147,929.25x = 323,844 × 323,844
  4. Step 4: Simplify right side
    147,929.25x = 104,874,936,336
  5. Step 5: Solve for x
    x = 104,874,936,336/147,929.25
  6. Step 6: Final answer
    x = 708,953.34

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