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Finding the Third Proportional to 147,844 and 317,828

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Solution

The third proportional to 147,844 and 317,828 is: 683,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,844 : 317,828 = 317,828 : x
  2. Step 2: Convert to fraction form
    147,844/317,828 = 317,828/x
  3. Step 3: Cross multiply
    147,844x = 317,828 × 317,828
  4. Step 4: Simplify right side
    147,844x = 101,014,637,584
  5. Step 5: Solve for x
    x = 101,014,637,584/147,844
  6. Step 6: Final answer
    x = 683,251.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.