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Finding the Third Proportional to 147,884 and 317,904

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Solution

The third proportional to 147,884 and 317,904 is: 683,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,884 : 317,904 = 317,904 : x
  2. Step 2: Convert to fraction form
    147,884/317,904 = 317,904/x
  3. Step 3: Cross multiply
    147,884x = 317,904 × 317,904
  4. Step 4: Simplify right side
    147,884x = 101,062,953,216
  5. Step 5: Solve for x
    x = 101,062,953,216/147,884
  6. Step 6: Final answer
    x = 683,393.42

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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.